79639560 has 576 divisors, whose sum is σ = 369982080. Its totient is φ = 14376960.

The previous prime is 79639537. The next prime is 79639561. The reversal of 79639560 is 6593697.

79639560 is a `hidden beast` number, since 7 + 9 + 639 + 5 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (79639561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4684672 + ... + 4684688.

It is an arithmetic number, because the mean of its divisors is an integer number (642330).

Almost surely, 2^79639560 is an apocalyptic number.

79639560 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 79639560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184991040).

79639560 is an abundant number, since it is smaller than the sum of its proper divisors (290342520).

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

79639560 is a wasteful number, since it uses less digits than its factorization.

79639560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 79639560 is about 8924.0999546173. The cubic root of 79639560 is about 430.2388433331.

The spelling of 79639560 in words is "seventy-nine million, six hundred thirty-nine thousand, five hundred sixty".