715303680 has 576 divisors, whose sum is σ = 2966906880. Its totient is φ = 142737408.

The previous prime is 715303661. The next prime is 715303681. The reversal of 715303680 is 86303517.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (715303681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8037076 + ... + 8037164.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^715303680 is an apocalyptic number.

715303680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483453440).

715303680 is an abundant number, since it is smaller than the sum of its proper divisors (2251603200).

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

715303680 is a wasteful number, since it uses less digits than its factorization.

715303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 715303680 is about 26745.1618054556. The cubic root of 715303680 is about 894.3279829964.

The spelling of 715303680 in words is "seven hundred fifteen million, three hundred three thousand, six hundred eighty".