76015152100 has 72 divisors (see below), whose sum is σ = 169079756328. Its totient is φ = 29646259200.

The previous prime is 76015152097. The next prime is 76015152119. The reversal of 76015152100 is 125151067.

It can be written as a sum of positive squares in 12 ways, for example, as 71494203456 + 4520948644 = 267384^2 + 67238^2 .

It is a super-2 number, since 2×76015152100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8084602 + ... + 8093998.

It is an arithmetic number, because the mean of its divisors is an integer number (2348329949).

Almost surely, 2^76015152100 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 76015152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84539878164).

76015152100 is an abundant number, since it is smaller than the sum of its proper divisors (93064604228).

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

76015152100 is a wasteful number, since it uses less digits than its factorization.

76015152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 76015152100 in words is "seventy-six billion, fifteen million, one hundred fifty-two thousand, one hundred".