76182072120 has 768 divisors, whose sum is σ = 334900500480. Its totient is φ = 14531788800.

The previous prime is 76182072073. The next prime is 76182072157. The reversal of 76182072120 is 2127028167.

76182072120 is a `hidden beast` number, since 7 + 618 + 20 + 7 + 2 + 12 + 0 = 666.

It is a Cunningham number, because it is equal to 276011²-1.

It is a super-2 number, since 2×76182072120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 19318869 + ... + 19322811.

It is an arithmetic number, because the mean of its divisors is an integer number (436068360).

Almost surely, 2^76182072120 is an apocalyptic number.

76182072120 is a gapful number since it is divisible by the number (70) 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 76182072120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167450250240).

76182072120 is an abundant number, since it is smaller than the sum of its proper divisors (258718428360).

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

76182072120 is a wasteful number, since it uses less digits than its factorization.

76182072120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 76182072120 in words is "seventy-six billion, one hundred eighty-two million, seventy-two thousand, one hundred twenty".