82917766080 has 168 divisors, whose sum is σ = 286105408992. Its totient is φ = 22041409536.

The previous prime is 82917765991. The next prime is 82917766091. The reversal of 82917766080 is 8066771928.

82917766080 is a `hidden beast` number, since 8 + 29 + 1 + 7 + 7 + 6 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867549 + ... + 958371.

Almost surely, 2^82917766080 is an apocalyptic number.

82917766080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82917766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143052704496).

82917766080 is an abundant number, since it is smaller than the sum of its proper divisors (203187642912).

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

82917766080 is a wasteful number, since it uses less digits than its factorization.

82917766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91163 (or 91150 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 82917766080 in words is "eighty-two billion, nine hundred seventeen million, seven hundred sixty-six thousand, eighty".