715132800 has 480 divisors, whose sum is σ = 2754734400. Its totient is φ = 182476800.

The previous prime is 715132787. The next prime is 715132853. The reversal of 715132800 is 8231517.

715132800 is a `hidden beast` number, since 71 + 513 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×715132800² = 1022829843271680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8035156 + ... + 8035244.

It is an arithmetic number, because the mean of its divisors is an integer number (5739030).

Almost surely, 2^715132800 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 715132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377367200).

715132800 is an abundant number, since it is smaller than the sum of its proper divisors (2039601600).

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

715132800 is a wasteful number, since it uses less digits than its factorization.

715132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 715132800 is about 26741.9670181533. The cubic root of 715132800 is about 894.2567615274.

The spelling of 715132800 in words is "seven hundred fifteen million, one hundred thirty-two thousand, eight hundred".