715080960 has 648 divisors, whose sum is σ = 2968623840. Its totient is φ = 164229120.

The previous prime is 715080887. The next prime is 715080967. The reversal of 715080960 is 69080517.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×715080960² = 1022681558709043200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715080967) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37635831 + ... + 37635849.

Almost surely, 2^715080960 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 715080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484311920).

715080960 is an abundant number, since it is smaller than the sum of its proper divisors (2253542880).

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

715080960 is a wasteful number, since it uses less digits than its factorization.

715080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 715080960 is about 26740.9977375565. The cubic root of 715080960 is about 894.2351527713.

The spelling of 715080960 in words is "seven hundred fifteen million, eighty thousand, nine hundred sixty".