79918560 has 288 divisors, whose sum is σ = 301916160. Its totient is φ = 19160064.

The previous prime is 79918549. The next prime is 79918613. The reversal of 79918560 is 6581997.

79918560 is a `hidden beast` number, since 79 + 9 + 18 + 560 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629217 + ... + 629343.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^79918560 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 79918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

79918560 is an abundant number, since it is smaller than the sum of its proper divisors (221997600).

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

79918560 is a wasteful number, since it uses less digits than its factorization.

79918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 79918560 is about 8939.7181163614. The cubic root of 79918560 is about 430.7406740619.

The spelling of 79918560 in words is "seventy-nine million, nine hundred eighteen thousand, five hundred sixty".