79385400 has 192 divisors, whose sum is σ = 279074400. Its totient is φ = 20736000.

The previous prime is 79385399. The next prime is 79385413. The reversal of 79385400 is 458397.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329280 + ... + 329520.

Almost surely, 2^79385400 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 79385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139537200).

79385400 is an abundant number, since it is smaller than the sum of its proper divisors (199689000).

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

79385400 is a wasteful number, since it uses less digits than its factorization.

79385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 79385400 is about 8909.8484835602. The cubic root of 79385400 is about 429.7806705509.

The spelling of 79385400 in words is "seventy-nine million, three hundred eighty-five thousand, four hundred".