715117920 has 384 divisors, whose sum is σ = 2696343552. Its totient is φ = 157286400.

The previous prime is 715117919. The next prime is 715117927. The reversal of 715117920 is 29711517.

It is a super-2 number, since 2×715117920² = 1022787279010252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715117927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2782432 + ... + 2782688.

It is an arithmetic number, because the mean of its divisors is an integer number (7021728).

Almost surely, 2^715117920 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 715117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348171776).

715117920 is an abundant number, since it is smaller than the sum of its proper divisors (1981225632).

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

715117920 is a wasteful number, since it uses less digits than its factorization.

715117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 715117920 is about 26741.6888023176. The cubic root of 715117920 is about 894.2505591209.

The spelling of 715117920 in words is "seven hundred fifteen million, one hundred seventeen thousand, nine hundred twenty".