82760680680120 has 384 divisors, whose sum is σ = 286115921058240. Its totient is φ = 21502712770560.

The previous prime is 82760680680089. The next prime is 82760680680199. The reversal of 82760680680120 is 2108608606728.

82760680680120 is a `hidden beast` number, since 8 + 2 + 7 + 606 + 8 + 0 + 6 + 8 + 0 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301542474 + ... + 301816806.

Almost surely, 2^{82760680680120} 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 82760680680120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143057960529120).

82760680680120 is an abundant number, since it is smaller than the sum of its proper divisors (203355240378120).

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

82760680680120 is a wasteful number, since it uses less digits than its factorization.

82760680680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275157 (or 275141 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82760680680120 in words is "eighty-two trillion, seven hundred sixty billion, six hundred eighty million, six hundred eighty thousand, one hundred twenty".