715255977832900 has 81 divisors (see below), whose sum is σ = 1805515172625927. Its totient is φ = 245229979108800.

The previous prime is 715255977832829. The next prime is 715255977832909. The reversal of 715255977832900 is 9238779552517.

The square root of 715255977832900 is 26744270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 214859836977604 + 500396140855296 = 14658098^2 + 22369536^2 .

It is a super-2 number, since 2×715255977832900² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 715255977832900.

It is not an unprimeable number, because it can be changed into a prime (715255977832909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1871907870 + ... + 1872289930.

Almost surely, 2^{715255977832900} is an apocalyptic number.

715255977832900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

715255977832900 is the 26744270-th square number.

It is an amenable number.

715255977832900 is an abundant number, since it is smaller than the sum of its proper divisors (1090259194793027).

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

715255977832900 is an frugal number, since it uses more digits than its factorization.

715255977832900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764150 (or 382075 counting only the distinct ones).

The product of its (nonzero) digits is 333396000, while the sum is 70.

The spelling of 715255977832900 in words is "seven hundred fifteen trillion, two hundred fifty-five billion, nine hundred seventy-seven million, eight hundred thirty-two thousand, nine hundred".