78352800 has 72 divisors (see below), whose sum is σ = 255046176. Its totient is φ = 20893440.

The previous prime is 78352787. The next prime is 78352811. The reversal of 78352800 is 825387.

It is a super-2 number, since 2×78352800² = 12278322535680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13924 + ... + 18723.

It is an arithmetic number, because the mean of its divisors is an integer number (3542308).

Almost surely, 2^78352800 is an apocalyptic number.

It is an amenable number.

78352800 is an abundant number, since it is smaller than the sum of its proper divisors (176693376).

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

78352800 is a wasteful number, since it uses less digits than its factorization.

78352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32670 (or 32657 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 78352800 is about 8851.7116988750. The cubic root of 78352800 is about 427.9090848323.

The spelling of 78352800 in words is "seventy-eight million, three hundred fifty-two thousand, eight hundred".