79846560 has 240 divisors, whose sum is σ = 289247112. Its totient is φ = 20736000.

The previous prime is 79846553. The next prime is 79846573. The reversal of 79846560 is 6564897.

79846560 is a `hidden beast` number, since 7 + 9 + 84 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63297936 + 16548624 = 7956^2 + 4068^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790510 + ... + 790610.

Almost surely, 2^79846560 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 79846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144623556).

79846560 is an abundant number, since it is smaller than the sum of its proper divisors (209400552).

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

79846560 is a wasteful number, since it uses less digits than its factorization.

79846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 79846560 is about 8935.6902363500. The cubic root of 79846560 is about 430.6112813123.

The spelling of 79846560 in words is "seventy-nine million, eight hundred forty-six thousand, five hundred sixty".