76746933120 has 1024 divisors, whose sum is σ = 303216721920. Its totient is φ = 16257024000.

The previous prime is 76746933061. The next prime is 76746933121. The reversal of 76746933120 is 2133964767.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76746933120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76746933121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 604306497 + ... + 604306623.

It is an arithmetic number, because the mean of its divisors is an integer number (296110080).

Almost surely, 2^76746933120 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 76746933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151608360960).

76746933120 is an abundant number, since it is smaller than the sum of its proper divisors (226469788800).

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

76746933120 is a wasteful number, since it uses less digits than its factorization.

76746933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 76746933120 in words is "seventy-six billion, seven hundred forty-six million, nine hundred thirty-three thousand, one hundred twenty".