Fatto generale: 8678 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 8678 is an uninteresting number.
Trivia: 8678 is an unremarkable number.
Data storica: October 4th is the day in 610 that Heraclius arrives by ship from Africa at Constantinople, overthrows Byzantine Emperor Phocas and becomes Emperor.