766880 has 24 divisors (see below), whose sum is σ = 1812132. Its totient is φ = 306688.

The previous prime is 766877. The next prime is 766891. The reversal of 766880 is 88667.

766880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 13456 = 868^2 + 116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 766880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2237 + ... + 2556.

2⁷⁶⁶⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

766880 is an abundant number, since it is smaller than the sum of its proper divisors (1045252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

766880 is a wasteful number, since it uses less digits than its factorization.

766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 766880 is about 875.7168492155. The cubic root of 766880 is about 91.5326010817.

The spelling of 766880 in words is "seven hundred sixty-six thousand, eight hundred eighty".