79725600 has 144 divisors (see below), whose sum is σ = 288419040. Its totient is φ = 21254400.

The previous prime is 79725559. The next prime is 79725623. The reversal of 79725600 is 652797.

79725600 is a `hidden beast` number, since 7 + 97 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 19755 + ... + 23445.

It is an arithmetic number, because the mean of its divisors is an integer number (2002910).

Almost surely, 2^79725600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144209520).

79725600 is an abundant number, since it is smaller than the sum of its proper divisors (208693440).

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

79725600 is a wasteful number, since it uses less digits than its factorization.

79725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 79725600 is about 8928.9193075086. The cubic root of 79725600 is about 430.3937262713.

The spelling of 79725600 in words is "seventy-nine million, seven hundred twenty-five thousand, six hundred".