768436800 has 84 divisors (see below), whose sum is σ = 2521128816. Its totient is φ = 204915200.

The previous prime is 768436787. The next prime is 768436829. The reversal of 768436800 is 8634867.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 75246 + ... + 84845.

Almost surely, 2^768436800 is an apocalyptic number.

It is an amenable number.

768436800 is an abundant number, since it is smaller than the sum of its proper divisors (1752692016).

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

768436800 is a wasteful number, since it uses less digits than its factorization.

768436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160116 (or 160101 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 768436800 is about 27720.6926320393. The cubic root of 768436800 is about 915.9449761320.

The spelling of 768436800 in words is "seven hundred sixty-eight million, four hundred thirty-six thousand, eight hundred".