761688960 has 64 divisors (see below), whose sum is σ = 2427889680. Its totient is φ = 203116544.

The previous prime is 761688959. The next prime is 761688979. The reversal of 761688960 is 69886167.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196437 + ... + 200276.

Almost surely, 2^761688960 is an apocalyptic number.

It is an amenable number.

761688960 is an abundant number, since it is smaller than the sum of its proper divisors (1666200720).

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

761688960 is a wasteful number, since it uses less digits than its factorization.

761688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396735 (or 396723 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 761688960 is about 27598.7130134722. The cubic root of 761688960 is about 913.2560409607.

The spelling of 761688960 in words is "seven hundred sixty-one million, six hundred eighty-eight thousand, nine hundred sixty".