82795610304 has 168 divisors, whose sum is σ = 259502330880. Its totient is φ = 25030540800.

The previous prime is 82795610273. The next prime is 82795610329. The reversal of 82795610304 is 40301659728.

82795610304 is a `hidden beast` number, since 8 + 27 + 9 + 5 + 610 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×82795610304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82795610304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2715657 + ... + 2745975.

It is a 1-persistent number, because it is pandigital, but 2⋅82795610304 = 165591220608 is not.

Almost surely, 2^82795610304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82795610304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129751165440).

82795610304 is an abundant number, since it is smaller than the sum of its proper divisors (176706720576).

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

82795610304 is a wasteful number, since it uses less digits than its factorization.

82795610304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30779 (or 30766 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 82795610304 in words is "eighty-two billion, seven hundred ninety-five million, six hundred ten thousand, three hundred four".