715991040 has 288 divisors, whose sum is σ = 2633216040. Its totient is φ = 179306496.

The previous prime is 715991021. The next prime is 715991053. The reversal of 715991040 is 40199517.

It can be written as a sum of positive squares in 4 ways, for example, as 707134464 + 8856576 = 26592^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 715990986 and 715991004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566492 + ... + 1566948.

Almost surely, 2^715991040 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 715991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316608020).

715991040 is an abundant number, since it is smaller than the sum of its proper divisors (1917225000).

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

715991040 is a wasteful number, since it uses less digits than its factorization.

715991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 484 counting only the distinct ones).

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

The square root of 715991040 is about 26758.0088945347. The cubic root of 715991040 is about 894.6143548321.

The spelling of 715991040 in words is "seven hundred fifteen million, nine hundred ninety-one thousand, forty".