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Family name Abbi (Abbi , אבי , 艾比 ) , all over the world, is quite a rare surname. The cognomen Abbi is habitual in Morocco, where it is quite a rare surname, Algeria, and Israel, where it is a rare surname. In absolute terms, it is the most numerous in India, Morocco, and Indonesia. More prevalently, Abbi is the forename as well as the last name.