76124979100 has 144 divisors (see below), whose sum is σ = 174588825600. Its totient is φ = 28754387200.

The previous prime is 76124979089. The next prime is 76124979107. The reversal of 76124979100 is 197942167.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76124979107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65455119 + ... + 65456281.

It is an arithmetic number, because the mean of its divisors is an integer number (1212422400).

Almost surely, 2^76124979100 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 76124979100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87294412800).

76124979100 is an abundant number, since it is smaller than the sum of its proper divisors (98463846500).

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

76124979100 is a wasteful number, since it uses less digits than its factorization.

76124979100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 76124979100 in words is "seventy-six billion, one hundred twenty-four million, nine hundred seventy-nine thousand, one hundred".