76178625120 has 768 divisors, whose sum is σ = 300228284160. Its totient is φ = 17915904000.

The previous prime is 76178625077. The next prime is 76178625167. The reversal of 76178625120 is 2152687167.

76178625120 is a `hidden beast` number, since 7 + 6 + 1 + 7 + 8 + 625 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126752820 + ... + 126753420.

It is an arithmetic number, because the mean of its divisors is an integer number (390922245).

Almost surely, 2^76178625120 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 76178625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150114142080).

76178625120 is an abundant number, since it is smaller than the sum of its proper divisors (224049659040).

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

76178625120 is a wasteful number, since it uses less digits than its factorization.

76178625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 722 counting only the distinct ones).

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

The spelling of 76178625120 in words is "seventy-six billion, one hundred seventy-eight million, six hundred twenty-five thousand, one hundred twenty".