78576800 has 36 divisors (see below), whose sum is σ = 191827566. Its totient is φ = 31430400.

The previous prime is 78576791. The next prime is 78576803. The reversal of 78576800 is 867587.

It can be written as a sum of positive squares in 3 ways, for example, as 38987536 + 39589264 = 6244^2 + 6292^2 .

It is not an unprimeable number, because it can be changed into a prime (78576803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48311 + ... + 49910.

Almost surely, 2^78576800 is an apocalyptic number.

It is an amenable number.

78576800 is an abundant number, since it is smaller than the sum of its proper divisors (113250766).

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

78576800 is a wasteful number, since it uses less digits than its factorization.

78576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98241 (or 98228 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 78576800 is about 8864.3555885355. The cubic root of 78576800 is about 428.3164748151.

The spelling of 78576800 in words is "seventy-eight million, five hundred seventy-six thousand, eight hundred".