79242624 has 80 divisors (see below), whose sum is σ = 235855620. Its totient is φ = 26410752.

The previous prime is 79242617. The next prime is 79242629. The reversal of 79242624 is 42624297.

79242624 is a `hidden beast` number, since 7 + 9 + 24 + 2 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79242629) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6547 + ... + 14189.

Almost surely, 2^79242624 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 79242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117927810).

79242624 is an abundant number, since it is smaller than the sum of its proper divisors (156612996).

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

79242624 is an equidigital number, since it uses as much as digits as its factorization.

79242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7648 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 79242624 is about 8901.8326203091. The cubic root of 79242624 is about 429.5228599673.

The spelling of 79242624 in words is "seventy-nine million, two hundred forty-two thousand, six hundred twenty-four".