715264000 has 208 divisors, whose sum is σ = 1962694656. Its totient is φ = 258048000.

The previous prime is 715263977. The next prime is 715264003. The reversal of 715264000 is 462517.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (715264003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631937 + ... + 5632063.

It is an arithmetic number, because the mean of its divisors is an integer number (9436032).

Almost surely, 2^715264000 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 715264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981347328).

715264000 is an abundant number, since it is smaller than the sum of its proper divisors (1247430656).

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

715264000 is a wasteful number, since it uses less digits than its factorization.

715264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 715264000 is about 26744.4199787544. The cubic root of 715264000 is about 894.3114456890.

The spelling of 715264000 in words is "seven hundred fifteen million, two hundred sixty-four thousand".