76120527168 has 224 divisors, whose sum is σ = 256277790720. Its totient is φ = 21703749120.

The previous prime is 76120527167. The next prime is 76120527181. The reversal of 76120527168 is 86172502167.

76120527168 is a `hidden beast` number, since 7 + 61 + 2 + 0 + 527 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×76120527168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76120527167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6078033 + ... + 6090543.

It is an arithmetic number, because the mean of its divisors is an integer number (1144097280).

Almost surely, 2^76120527168 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 76120527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128138895360).

76120527168 is an abundant number, since it is smaller than the sum of its proper divisors (180157263552).

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

76120527168 is a wasteful number, since it uses less digits than its factorization.

76120527168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 76120527168 in words is "seventy-six billion, one hundred twenty million, five hundred twenty-seven thousand, one hundred sixty-eight".