It is a happy number.
It is a tau number, because it is divible by the number of its divisors (48).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766368.
2766368 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
766368 is a wasteful number, since it uses less digits than its factorization.
766368 is an odious number, because the sum of its binary digits is odd.
The square root of 766368 is about 875.4244684723. The cubic root of 766368 is about 91.5122262620.
The spelling of 766368 in words is "seven hundred sixty-six thousand, three hundred sixty-eight".