769468800 has 96 divisors (see below), whose sum is σ = 2534469480. Its totient is φ = 205189120.

The previous prime is 769468781. The next prime is 769468873. The reversal of 769468800 is 8864967.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 769468800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30477 + ... + 49676.

Almost surely, 2^769468800 is an apocalyptic number.

It is an amenable number.

769468800 is an abundant number, since it is smaller than the sum of its proper divisors (1765000680).

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

769468800 is a wasteful number, since it uses less digits than its factorization.

769468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80180 (or 80163 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 769468800 is about 27739.3006400666. The cubic root of 769468800 is about 916.3548265261.

The spelling of 769468800 in words is "seven hundred sixty-nine million, four hundred sixty-eight thousand, eight hundred".