79786560 has 224 divisors, whose sum is σ = 299630592. Its totient is φ = 17602560.

The previous prime is 79786549. The next prime is 79786601. The reversal of 79786560 is 6568797.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208129 + ... + 208511.

Almost surely, 2^79786560 is an apocalyptic number.

79786560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149815296).

79786560 is an abundant number, since it is smaller than the sum of its proper divisors (219844032).

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

79786560 is a wasteful number, since it uses less digits than its factorization.

79786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 79786560 is about 8932.3322822206. The cubic root of 79786560 is about 430.5033945891.

The spelling of 79786560 in words is "seventy-nine million, seven hundred eighty-six thousand, five hundred sixty".