Born in the early 8th century, in his early years Rav Bibi studied in Nehar Pekod, later moving to Pumbedita where he gained prominence in the community.
He was elected to the Gaonate of Sura in 778, succeeding Mari ha-Levi ben R. Mesharsheya.
During his tenure as Gaon, Rav Bibi implemented several halakic economic reforms which were in response to the growing decline of land ownership and agriculturalism amongst Babylonian Jewry.
[1] Some have identified Rav Bibi as the author of Meat on Charcoals, but many others have discredited this.
[2] Rav Bibi died in 789, and was succeeded as Gaon by Hilai ben Mari.