Guffaw

guf-faw (g-fô)

noun
1. A genuine from-the-heart burst of laughter.
Eugene, who never laughs - except at his own thoughts, let out an audible guffaw, when he overheard me explaining the delight of being able to surprise one's self with chocolate because of one's own tiny attention span. This made my day.

Synonyms: belly laugh, deep laugh, laughter, snort.