All the hostages were rescued in Borno state with 520 recovered in Kusumma village on Tuesday after a confrontation with Boko Haram fighters, and a further 309 from 11 other villages under the Islamist group's control.
"The gallant troops cleared the remnants of the Boko Haram terrorists hibernating in Kala Balge general area," army spokesman Sani Usman said in a statement, adding that 22 "terrorists" were killed.
Three Islamists were killed and one was captured alive during the second raid on the 11 villages.
The military operations came on the same day that Boko Haram abducted 16 women, including two girls, in neighbouring Adamawa state.
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"We received report of the kidnap of 14 women and two girls by gunmen believed to be Boko Haram insurgents near Sabon Garin Madagali village", said Adamawa state police spokesman Othman Abubakar.
Locals said the hostages were seized in the bush while fetching firewood and fishing in a nearby river under the escort of two civilian vigilantes assisting the military against the Islamist insurgents.
"When the civilian vigilantes escorting the women saw the heavily armed Boko Haram fighters advancing on them they fled, leaving the women to their fate," said Madagali resident Garba Barnabas.
Human rights groups have said fighters have kidnapped thousands of women and young girls, including more than 200 schoolgirls who were abducted from the Borno town of Chibok nearly two years ago.
At least 17,000 have been killed since Boko Haram launched an insurgency in 2009 to carve out an Islamic state in northeast Nigeria.
More than 2.6 million people have fled their homes since the start of the violence but some of the internally displaced have returned home after troops began a fight-back last year and recaptured territory.