715716000 has 360 divisors, whose sum is σ = 2683997316. Its totient is φ = 186796800.

The previous prime is 715715999. The next prime is 715716007. The reversal of 715716000 is 617517.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

715716000 is a `hidden beast` number, since 7 + 1 + 57 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483824016 + 231891984 = 21996^2 + 15228^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (715716007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15227977 + ... + 15228023.

Almost surely, 2^715716000 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 715716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341998658).

715716000 is an abundant number, since it is smaller than the sum of its proper divisors (1968281316).

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

715716000 is an equidigital number, since it uses as much as digits as its factorization.

715716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 715716000 is about 26752.8690050245. The cubic root of 715716000 is about 894.4997881074.

The spelling of 715716000 in words is "seven hundred fifteen million, seven hundred sixteen thousand".