82757480976 has 225 divisors, whose sum is σ = 245388240669. Its totient is φ = 26926473600.

The previous prime is 82757480881. The next prime is 82757480999. The reversal of 82757480976 is 67908475728.

The square root of 82757480976 is 287676.

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

82757480976 is a `hidden beast` number, since 82 + 7 + 5 + 7 + 480 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2691119376 + 80066361600 = 51876^2 + 282960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 631736431 + ... + 631736561.

Almost surely, 2^82757480976 is an apocalyptic number.

82757480976 is the 287676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82757480976

82757480976 is an abundant number, since it is smaller than the sum of its proper divisors (162630759693).

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

82757480976 is an equidigital number, since it uses as much as digits as its factorization.

82757480976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 82757480976 in words is "eighty-two billion, seven hundred fifty-seven million, four hundred eighty thousand, nine hundred seventy-six".