76508358120 has 192 divisors, whose sum is σ = 252552867840. Its totient is φ = 20084428800.

The previous prime is 76508358109. The next prime is 76508358181. The reversal of 76508358120 is 2185380567.

76508358120 is a `hidden beast` number, since 7 + 65 + 0 + 8 + 3 + 581 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6663985 + ... + 6675455.

It is an arithmetic number, because the mean of its divisors is an integer number (1315379520).

Almost surely, 2^76508358120 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 76508358120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126276433920).

76508358120 is an abundant number, since it is smaller than the sum of its proper divisors (176044509720).

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

76508358120 is a wasteful number, since it uses less digits than its factorization.

76508358120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 11769 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 76508358120 in words is "seventy-six billion, five hundred eight million, three hundred fifty-eight thousand, one hundred twenty".