79578720 has 288 divisors, whose sum is σ = 304365600. Its totient is φ = 19408896.

The previous prime is 79578713. The next prime is 79578731. The reversal of 79578720 is 2787597.

79578720 is a `hidden beast` number, since 7 + 9 + 578 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730026 + ... + 730134.

It is an arithmetic number, because the mean of its divisors is an integer number (1056825).

Almost surely, 2^79578720 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 79578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152182800).

79578720 is an abundant number, since it is smaller than the sum of its proper divisors (224786880).

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

79578720 is a wasteful number, since it uses less digits than its factorization.

79578720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 79578720 is about 8920.6905562294. The cubic root of 79578720 is about 430.1292562567.

The spelling of 79578720 in words is "seventy-nine million, five hundred seventy-eight thousand, seven hundred twenty".