Fatto generale: 6765 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 6765 is the 20^{th} Fibonacci number.
Trivia: 6765 is an uninteresting number.
Data storica: July 9th is the day in 1922 that Johnny Weissmuller swims the 100 meters freestyle in 58.6 seconds breaking the world swimming record and the 'minute barrier'.