78973200 has 90 divisors (see below), whose sum is σ = 274071434. Its totient is φ = 21058560.

The previous prime is 78973199. The next prime is 78973231. The reversal of 78973200 is 237987.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 78641424 = 576^2 + 8868^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7369 + ... + 14568.

Almost surely, 2^78973200 is an apocalyptic number.

It is an amenable number.

78973200 is an abundant number, since it is smaller than the sum of its proper divisors (195098234).

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

78973200 is a wasteful number, since it uses less digits than its factorization.

78973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21961 (or 21947 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 78973200 is about 8886.6866716454. The cubic root of 78973200 is about 429.0355163189.

The spelling of 78973200 in words is "seventy-eight million, nine hundred seventy-three thousand, two hundred".