Family name Агабай (Agabaj 
, Agabai 
, Агабай 
) , in the world, is a rare last name. The surname Агабай is habitual in Azerbaijan, where it is quite a rare surname, Georgia, where it is a rare surname, and Philippines, where it is an extremely rare surname. Not in comparison with a country's population, this name is the most popular in Azerbaijan, Philippines, and Nigeria. More frequently, Агабай is the forename as well as the last name.