79374400 has 168 divisors, whose sum is σ = 235590080. Its totient is φ = 25712640.

The previous prime is 79374391. The next prime is 79374413. The reversal of 79374400 is 447397.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212614 + ... + 212986.

Almost surely, 2^79374400 is an apocalyptic number.

79374400 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 79374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117795040).

79374400 is an abundant number, since it is smaller than the sum of its proper divisors (156215680).

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

79374400 is a wasteful number, since it uses less digits than its factorization.

79374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 79374400 is about 8909.2311677271. The cubic root of 79374400 is about 429.7608188496.

The spelling of 79374400 in words is "seventy-nine million, three hundred seventy-four thousand, four hundred".