82156756900 has 27 divisors (see below), whose sum is σ = 178286382561. Its totient is φ = 32861556240.

The previous prime is 82156756897. The next prime is 82156756921. The reversal of 82156756900 is 965765128.

The square root of 82156756900 is 286630.

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

It can be written as a sum of positive squares in only one way, i.e., 29576432484 + 52580324416 = 171978^2 + 229304^2 .

It is a super-2 number, since 2×82156756900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2851969 + ... + 2880631.

Almost surely, 2^82156756900 is an apocalyptic number.

82156756900 is the 286630-th square number.

It is an amenable number.

82156756900 is an abundant number, since it is smaller than the sum of its proper divisors (96129625661).

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

82156756900 is an frugal number, since it uses more digits than its factorization.

82156756900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57340 (or 28670 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 82156756900 by its sum of digits (49), we get a square (4025681088100 = 2006410²).

It can be divided in two parts, 82156 and 756900, that added together give a square (839056 = 916²).

The spelling of 82156756900 in words is "eighty-two billion, one hundred fifty-six million, seven hundred fifty-six thousand, nine hundred".