716752800 has 252 divisors, whose sum is σ = 2625593670. Its totient is φ = 190978560.

The previous prime is 716752781. The next prime is 716752823. The reversal of 716752800 is 8257617.

716752800 is a `hidden beast` number, since 71 + 67 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 688747536 + 28005264 = 26244^2 + 5292^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 582586 + ... + 583814.

Almost surely, 2^716752800 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 716752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312796835).

716752800 is an abundant number, since it is smaller than the sum of its proper divisors (1908840870).

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

716752800 is a wasteful number, since it uses less digits than its factorization.

716752800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 716752800 is about 26772.2393534796. The cubic root of 716752800 is about 894.9315095888.

The spelling of 716752800 in words is "seven hundred sixteen million, seven hundred fifty-two thousand, eight hundred".