79285200 has 60 divisors (see below), whose sum is σ = 253980768. Its totient is φ = 21142400.

The previous prime is 79285189. The next prime is 79285201. The reversal of 79285200 is 258297.

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

It is a super-2 number, since 2×79285200² = 12572285878080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79285201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31836 + ... + 34235.

Almost surely, 2^79285200 is an apocalyptic number.

It is an amenable number.

79285200 is an abundant number, since it is smaller than the sum of its proper divisors (174695568).

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

79285200 is a wasteful number, since it uses less digits than its factorization.

79285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66092 (or 66081 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 79285200 is about 8904.2237168661. The cubic root of 79285200 is about 429.5997718200.

The spelling of 79285200 in words is "seventy-nine million, two hundred eighty-five thousand, two hundred".