79523942400 has 936 divisors, whose sum is σ = 340416649440. Its totient is φ = 18145935360.

The previous prime is 79523942389. The next prime is 79523942413. The reversal of 79523942400 is 424932597.

79523942400 is a `hidden beast` number, since 7 + 9 + 5 + 239 + 4 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135474907 + ... + 135475493.

Almost surely, 2^79523942400 is an apocalyptic number.

79523942400 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 79523942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170208324720).

79523942400 is an abundant number, since it is smaller than the sum of its proper divisors (260892707040).

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

79523942400 is a wasteful number, since it uses less digits than its factorization.

79523942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 79523942400 in words is "seventy-nine billion, five hundred twenty-three million, nine hundred forty-two thousand, four hundred".