82809270756 has 105 divisors (see below), whose sum is σ = 220292649311. Its totient is φ = 27224965728.

The previous prime is 82809270721. The next prime is 82809270779. The reversal of 82809270756 is 65707290828.

It is a happy number.

The square root of 82809270756 is 287766.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1515856356 + 81293414400 = 38934^2 + 285120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 1134373536 + ... + 1134373608.

Almost surely, 2^82809270756 is an apocalyptic number.

82809270756 is the 287766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82809270756

82809270756 is an abundant number, since it is smaller than the sum of its proper divisors (137483378555).

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

82809270756 is an frugal number, since it uses more digits than its factorization.

82809270756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82809270756 in words is "eighty-two billion, eight hundred nine million, two hundred seventy thousand, seven hundred fifty-six".