79523640 has 256 divisors, whose sum is σ = 309427200. Its totient is φ = 17791488.

The previous prime is 79523629. The next prime is 79523651. The reversal of 79523640 is 4632597.

79523640 is a `hidden beast` number, since 7 + 9 + 5 + 2 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (79523629) and next prime (79523651).

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 = 79523595 and 79523604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506442 + ... + 506598.

It is an arithmetic number, because the mean of its divisors is an integer number (1208700).

Almost surely, 2^79523640 is an apocalyptic number.

79523640 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 79523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154713600).

79523640 is an abundant number, since it is smaller than the sum of its proper divisors (229903560).

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

79523640 is a wasteful number, since it uses less digits than its factorization.

79523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 79523640 is about 8917.6028169010. The cubic root of 79523640 is about 430.0299961047.

The spelling of 79523640 in words is "seventy-nine million, five hundred twenty-three thousand, six hundred forty".