82768093857792 has 864 divisors, whose sum is σ = 291081404446560. Its totient is φ = 23426278686720.

The previous prime is 82768093857769. The next prime is 82768093857829. The reversal of 82768093857792 is 29775839086728.

82768093857792 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 8 + 0 + 9 + 38 + 577 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2609236492 + ... + 2609268212.

It is an arithmetic number, because the mean of its divisors is an integer number (336899773665).

Almost surely, 2^{82768093857792} 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 82768093857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145540702223280).

82768093857792 is an abundant number, since it is smaller than the sum of its proper divisors (208313310588768).

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

82768093857792 is a wasteful number, since it uses less digits than its factorization.

82768093857792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31879 (or 31840 counting only the distinct ones).

The product of its (nonzero) digits is 5120962560, while the sum is 81.

The spelling of 82768093857792 in words is "eighty-two trillion, seven hundred sixty-eight billion, ninety-three million, eight hundred fifty-seven thousand, seven hundred ninety-two".