79626624 has 128 divisors (see below), whose sum is σ = 263796480. Its totient is φ = 20674560.

The previous prime is 79626611. The next prime is 79626629. The reversal of 79626624 is 42662697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79626629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28222 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (2060910).

Almost surely, 2^79626624 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 79626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131898240).

79626624 is an abundant number, since it is smaller than the sum of its proper divisors (184169856).

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

79626624 is a wasteful number, since it uses less digits than its factorization.

79626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2716 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 79626624 is about 8923.3751462101. The cubic root of 79626624 is about 430.2155472432.

The spelling of 79626624 in words is "seventy-nine million, six hundred twenty-six thousand, six hundred twenty-four".