79626240 has 204 divisors, whose sum is σ = 286259064. Its totient is φ = 21233664.

The previous prime is 79626229. The next prime is 79626247. The reversal of 79626240 is 4262697.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)³ ⋅ (2!)³.

79626240 is a `hidden beast` number, since 7 + 9 + 626 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 79626195 and 79626204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79626247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15925246 + ... + 15925250.

Almost surely, 2^79626240 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 79626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129532).

79626240 is an abundant number, since it is smaller than the sum of its proper divisors (206632824).

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

79626240 is an frugal number, since it uses more digits than its factorization.

79626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 79626240 is about 8923.3536296619. The cubic root of 79626240 is about 430.2148556695.

The spelling of 79626240 in words is "seventy-nine million, six hundred twenty-six thousand, two hundred forty".