Copied from here,since I wanted to give the post a more permanent home.
durgA nAma japo yasya kim tasya kathayAmi te /
aham panchananaH kAnte tajjapA deva suvrate//
shiva said to pArvati
O devI, how could I narrate the glory of the name ‘durgA’?
It is because of the recitation of durgA nAma ( durgA’s name) that I am called pa~nchAnana.
dhanI putri tathA nyAni chira~njIvI bhaved bhuvi /
pratyaham yo japed bhaktyA shatam ashtottaram shuciH//
One who recites the name of durgA 108 times every day, is blessed with prosperity, offspring, wisdom and longevity.
aShTottaram sahasram tu yo japed bhakti samyutAH/
pratyaham parameshAnI tasya puNya phalam shR^iNu//
dhanArthi dhanamApnoti j~nAnArtthI j~nAnameva cha/
rogArto muchyatE rogAt baddho muchyate bandhanAt//
bhIto bhayAt muchyate pApAn muchyate pAtakI/
putrArthi labhate putram devI satyam na saMshayaH//
One who recites the name of durgA 1008 times daily with great reverence will be blessed with whatever he asks for. Those who in dire need for financial aid will be blessed with all round prosperity, one who longs for wisdom will be blessed with nyAnA sampat, the one who suffers from ailments shall be relieved from their ailments,One who is desirous of progeny will be blessed with putra lAbha and the one who is in fear is relieved from his fears. One who has been imprisoned will be set free, if he repents and recites the name of durga 1008 times daily with faith and devotion. All the sins are absolved by reciting durgA nAma.
evam satyam vijAnIhi samartha sarva karmasu/
Ayutam yo japet bhaktyA pratyAham paramEshwarI//
nigrahAnugrahe shaktA sa bhavEd kalpapAdapA/
tasya krodhe bhaven mR^ityu prasAde paripUrnatA//
If one recites Her name 10,000 times, he is blessed with the ability to bless and curse and will be a living wish fulfilling tree (kalpataru). In his anger there is death and in his pleasantness there is fulfillment.
mAsi mAsi cha yo lakshaM japam kuryAd varAnanE/
na tasya graha pIdA tasya kadachid api shAnkarI//
nachaishwaryam kshayam yati nacha sarpa bhayam bhavet/
nagni chaura bhayam vApi charanye jale bhayam//
parvatArhane napi simham vyAgra bhayam tathA/
bhUta preta pishAchAnAm bhayam nApi bhavet kvachit//
na cha vairi bhayam kAnte napi dushta bhayam bhavet/
paraloke bhavet swargIm satyam vai vIra vandite//
chandra sUrya samudbhUtvA vashet kalpAyutam divi/
vAjapeya sahasrasya yat phalam syAd varAnane//
tatphalam samAvApnotI durgA nAma japAt priye/
na durgam nAma sadR^isham nAmAstI jagati tale//
tasmAt sarva prayatnena smartavyam sAdhakottamaiH/
yasyA smarana mAtrena palayante mahApada//
One who recites her name 100,000 (in a month), will not be troubled by malefic planets, his wealth never diminishes, there will no fear for snakes, fire, thieves, enemies,forest or water. While mountaineering there will be no fear/ trouble of tigers, lions, demons or evil entities. He will be ever blissful and will attain the highest abode of the dEvAs (heaven) in his afterlife. He shall remain in heaven as long as the sun and moon exist. To him accrues the benefit of 1000 vAjapEya yagnAs. There is no name that can be compared to the greatness of durgA nAma in the whole universe. Difficulties and sufferings disappears the moment one remembers Her divine name.
(rudrayAmalam) [From the rudra yAmala]
The image in this blog is the one of the beautiful Jagaddhatri Durga of the Brahmachari family of Shantipur.
More sources(from the page: দুর্গালোকনিবাসিনী শ্রীমদদুর্গতিনাশিনী মহামহিষাসুরমর্দিনী দেবীমা): In here,it is said in shAstra that for one who does japa of durgA nAma:his shiva comes with His shUla,viShNu with His chakra,indra with His vajra,etc. And it is a name of great power/shakti. Brahma gained the power of creation by this name,shiva reached His high state by smaraNa(remembrance) of this name,and this name is the secret of all the strength of the respective deities in their fields. One who remembers this name at the end gains sAyujya mukti with devI even if he was a great sinner his whole life.
Then from here it cites a shloka
daityanAshArthabachano dakAraH parikIrtitaH|
ukAro vighnanAshasya vAchako vedasammata||
repho rogaghnavachano gashcha pApaghnavAchakaH|
In the name of ‘durgA’, ‘da’ kAra is daityanAshaka, ‘u’kAra is vighnanAshaka,’ga’kAra is pApanAshaka,’A’kAra is shatrunAshaka. The one who destroys daityas,vighnas(difficulties),sins and enemies is durgA. The page then goes into a brief discussion of daiva and asuri sampat(those qualities) and which Durga destroys in the sAdhaka. Someone else noted that this shloka is from the brahmavaivarta purANa.
This page then cites that famous dvAtriMshannAmAvalI of durgA(litany of 32 names of durgA). I am translating mostly the instructions for special usage of this nAmAvali(written in Bengali in that FB page).
The person who reads this nAmamAlA,he certainly attains freedom fro all fears. Anyone under attack of foes etc gets freed from pATha of these names. There is no doubt about this. If a king becomes angry and gives the death penalty/harsh punishment or if a man is surrounded by enemies in battle or near any dangerous animal,if this hymn is recited 108 times,he is delivered from all fears. In times of danger,this upaya is second to none in dispelling fears. No harm comes to the man who studies this nAma mAlA. This should not be given to non-devotees or rogues. If one is in grave danger, pAThath of this nAma mAlA should be recited 1000,10,000 or 100,000 by oneself or through a brAhmaNa relieves one from all dangers. Offering oblations in purified agni with white til(seasamum) mixed with honey vanquishes all difficulties. The purashcharaNa saMkhyA(count for purashcharaNa) is 30,000. After purashcharaNa if one recites this,one attains siddhi(success) in all his endeavours. [This is apparently from the Geeta Press edition of saptashati apparently,translated into Bengali by the page admin].
The page also cites shlokas from the muNDamAlA tantra
shRRiNu devI ! varArohe mamaiba nischitaM vachaH |
vinA durgA-parij~nAnAda biphalaM pUjanaM japaH ||
durgA hi paramo mantra durgA hi paramo japaH |
durgA hi paramaM tIrthaM durgA hi paramA kriyA |
durgA hi paramA bhaktidurgA murttimahItale ||
buddhi nidrA kShudhA ChAyA shaktistRRiShNA tathA kShamA |
dayA tuShTishcha puShTishcha shAntirlakShIrmatishcha yA ||
kriyA sarvA bariShThA cha vaidikI tAntrikI cha yA |
etat sarvaM hi durgA hi durgAbhinnaM na tajjapaH ||
bhajed durgApada-dvandaM smared durgAmaharnisham |
prajaped ! devi !durgeti mantraM parama-kAraNaM ||
[sadAshiva said to umA]:Oh boon giver!Oh devI! Listen to be infallible words. Without the knowledge of durgA one’s pUjA and japa bear no fruits. ‘durgA’ is the supreme mantra,’durgA’ is the supreme japa. ‘durgA’ is the supreme tIrtha and the supreme kriyA. She is also the nature of supre bhakti and the nature of the highest mukti on this earth. buddhi,nidrA,kShudA,chAyA,shakti,tR^iShNA,kShamA,dayA,puShTi,shAnti,lakShmI and matI:All of them are verily durgA. All the supreme vaidika and tAntrika kriyAs:They are verily durgA and nondifferent from Her. Japa of ‘durgA’ is also non different from them. Worship the feet of durgA and always continuously remember durgA day and night. Oh devI! Do japa of the mantra ‘durgA’,the supreme cause!
Further addenda from shivarahasya,mArkANDeya purANa,umAyAmala and pichChilA tantra
gAynti Ye girisutAn~ncha vilokayntidhayAynti vAmaladhiyshcha shivAM smaranti|
gaurimumAM bhagavatIM jagadekadevIMtehapi prAyAnti paramaM padamindumauleH||1
Ye tAM smaranti nigaDairapi vandhapAda vayAghrAhi chauranRRipa vahnibhayeShu durgA|
teShAM na ki~nchidapi shatrubhayM nRRiNAM sYAt,vandhAsta muktimupalabhaya sukhaM ramante||2
ye manAgapi sarvvANIM smaranti sharanaiShiNaH|
duShpArApArasaMsArasAgare na patanti te||3
shamAyAlaM jalaM vahnestamasasobhAskarodayH|
shAntaiYa kalevaraughasaya devInAmAnukIrttanaM||4
nAmochchAranamAtrena yasayAH kShInAghasa~nchayaH|
bhavataYavAptikalayANaH kAstAM nArAdhayechChivAM||5
durgA smRRitA harasi bhItimasheShajantoH|
svasthaiH smRRitA matimatIva shubhAnandadAsi||1
svapaMstiShThan vajraMshchApi vilapana bhojane rataH|
smarate satataM durgA sohapimuchayeta vandhanAt||1
durgAnAmAni saMkIrttaya tasaYaloka mahIyte||2
sarvvAvasthAM gatovApi yuktovA sarvvapAtakaiH|
durgAM dRRiShTvA naraH sohapi prAyAti paramaM padaM||3
durgAyAdarshanaM puNyaM darshanAdabhivandanaM|
vandanAt sparshanaM shreShThaM sparshanAdapi pUjanaM||4
pichChila tantre pUrvvakhan.De tR^itiya paTalaH-
na durgAnAma-sadRRishaM nAmAsti jagatItale|
yasya smaranamAtrena pAlAynta mahApadaH||
tArinI sundarI kAlI dUrgA(jayadUrgA) cha bhairavI tathA|
bhuvaneshI mahAlakShIstAsAM dUrgeti nAma vai||
dUrgAnAma mahAmantraH sarvvomantrottamottamaH|
rAjAdibhayamApanne durgA parAgatiH|
lakShasaMkhaYAjapenaiva palAynte mahApadaH||
umAYAmala(devI YAmala)gauri khaNDe-
durgAnAmajapAt pApaM sarvvaM YAti hi tatkShanAt|
vedAsvAgamatantraShu purAneShu sunishchitam||
viShNunAmasahasrebhayo haYadhikaM parameshvarI|
durgAnAma samAkhaYAtaM chaturvvedavidaM matam||
harinAmnaHparaH nAsti vaiShNavAnAmidaM smRRitam|
tAdRRishA~ncha matej~neyAM durgAnAma tato’dhikam||
shauchAchAravihinopi saMsmaret parameshvarIm|
sa eva paramaMsthAnaM kathitaM vIravandite||
Another from the Brahmavaivarta Purana,53rd adhyaya of the prakR^iti khaNDa
durgo daitye mahAvighne bhavabandhe cha karmaNi|
shoke duHkhe cha narake yamadaNDe cha janmani|
etAn hantyeba yA devI sA durgA parikIrttitA|
OM shrI viShNu-bhaginyai namaH|