Fatto matematico: 827 is the number of asymmetric trees with 11 vertices.
Trivia: 827 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Data storica: April 6th is the day in 46 BC that Julius Caesar defeats Caecilius Metellus Scipio and Marcus Porcius Cato (Cato the Younger) in the battle of Thapsus.