Fatto generale: 786 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 786 is the largest known n for which _{2n}C_{n} is not divisible by the square of an odd prime.
Trivia: 786 is an uninteresting number.
Data storica: February 24th is the day in 1981 that an earthquake registering 6.7 on the Richter scale hits Athens, killing 16 people and destroying buildings in several towns west of the city.