715629376 has 112 divisors (see below), whose sum is σ = 1863912960. Its totient is φ = 264107520.

The previous prime is 715629371. The next prime is 715629391. The reversal of 715629376 is 673926517.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715629371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89811 + ... + 97453.

It is an arithmetic number, because the mean of its divisors is an integer number (16642080).

Almost surely, 2^715629376 is an apocalyptic number.

715629376 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

715629376 is the 13376-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

715629376 is an abundant number, since it is smaller than the sum of its proper divisors (1148283584).

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

715629376 is a wasteful number, since it uses less digits than its factorization.

715629376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7682 counting only the distinct ones).

The product of its digits is 476280, while the sum is 46.

The square root of 715629376 is about 26751.2499894865. The cubic root of 715629376 is about 894.4636991764.

The spelling of 715629376 in words is "seven hundred fifteen million, six hundred twenty-nine thousand, three hundred seventy-six".