79772400 has 90 divisors (see below), whose sum is σ = 276844880. Its totient is φ = 21271680.

The previous prime is 79772377. The next prime is 79772423. The reversal of 79772400 is 427797.

It is an interprime number because it is at equal distance from previous prime (79772377) and next prime (79772423).

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 a congruent number.

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, 7480 + ... + 14679.

Almost surely, 2^79772400 is an apocalyptic number.

It is an amenable number.

79772400 is an abundant number, since it is smaller than the sum of its proper divisors (197072480).

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

79772400 is a wasteful number, since it uses less digits than its factorization.

79772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22183 (or 22169 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 79772400 is about 8931.5396209164. The cubic root of 79772400 is about 430.4779254343.

The spelling of 79772400 in words is "seventy-nine million, seven hundred seventy-two thousand, four hundred".