78860400 has 60 divisors (see below), whose sum is σ = 252619992. Its totient is φ = 21029120.

The previous prime is 78860381. The next prime is 78860447. The reversal of 78860400 is 406887.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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, 31659 + ... + 34058.

Almost surely, 2^78860400 is an apocalyptic number.

It is an amenable number.

78860400 is an abundant number, since it is smaller than the sum of its proper divisors (173759592).

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

78860400 is a wasteful number, since it uses less digits than its factorization.

78860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65738 (or 65727 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78860400 is about 8880.3378314116. The cubic root of 78860400 is about 428.8311505086.

The spelling of 78860400 in words is "seventy-eight million, eight hundred sixty thousand, four hundred".