715919040 has 448 divisors, whose sum is σ = 2703697920. Its totient is φ = 178053120.

The previous prime is 715918981. The next prime is 715919051. The reversal of 715919040 is 40919517.

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

It is a junction number, because it is equal to n+sod(n) for n = 715918986 and 715919004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15232297 + ... + 15232343.

It is an arithmetic number, because the mean of its divisors is an integer number (6035040).

Almost surely, 2^715919040 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 715919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351848960).

715919040 is an abundant number, since it is smaller than the sum of its proper divisors (1987778880).

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

715919040 is a wasteful number, since it uses less digits than its factorization.

715919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 715919040 is about 26756.6634691248. The cubic root of 715919040 is about 894.5843663783.

The spelling of 715919040 in words is "seven hundred fifteen million, nine hundred nineteen thousand, forty".