79524070400 has 264 divisors, whose sum is σ = 206027111040. Its totient is φ = 30403952640.

The previous prime is 79524070397. The next prime is 79524070403. The reversal of 79524070400 is 407042597.

It is an interprime number because it is at equal distance from previous prime (79524070397) and next prime (79524070403).

It is not an unprimeable number, because it can be changed into a prime (79524070403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55884089 + ... + 55885511.

Almost surely, 2^79524070400 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 79524070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103013555520).

79524070400 is an abundant number, since it is smaller than the sum of its proper divisors (126503040640).

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

79524070400 is a wasteful number, since it uses less digits than its factorization.

79524070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 79524070400 in words is "seventy-nine billion, five hundred twenty-four million, seventy thousand, four hundred".