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The Youtube comedian Ed Bassmaster started saying it in some of his videos. It doesn't really mean anything other than to get a WTF reaction out of people.
Ed - Is your dog friendly?

Lady- Yes he is

Ed- Habba Babba! Habba Babba babba babba Habba
by Jiggy Jigggy Bombom October 19, 2009

Words related to Habba Babba

dumb funny-sounding idiocy meaningless mindless