766494880 has 24 divisors (see below), whose sum is σ = 1810844532. Its totient is φ = 306597888.

The previous prime is 766494769. The next prime is 766494887. The reversal of 766494880 is 88494667.

It is a happy number.

766494880 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 701402256 + 65092624 = 26484^2 + 8068^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (766494887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2395137 + ... + 2395456.

Almost surely, 2^766494880 is an apocalyptic number.

It is an amenable number.

766494880 is an abundant number, since it is smaller than the sum of its proper divisors (1044349652).

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

766494880 is a wasteful number, since it uses less digits than its factorization.

766494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790608 (or 4790600 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The square root of 766494880 is about 27685.6439332734. The cubic root of 766494880 is about 915.1727624256.

The spelling of 766494880 in words is "seven hundred sixty-six million, four hundred ninety-four thousand, eight hundred eighty".