math_fact: 6797 is a number whose sum of divisors is a 5^{th} power.
trivia: 6797 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
historical_date: August 10th is the day in 1628 that the Swedish warship Vasa sinks in the Stockholm harbour after only about 20 minutes of her maiden voyage.