76938000128 has 144 divisors (see below), whose sum is σ = 169299123840. Its totient is φ = 34606387200.

The previous prime is 76938000109. The next prime is 76938000203. The reversal of 76938000128 is 82100083967.

It is a Cunningham number, because it is equal to 277377²-1.

It is a super-2 number, since 2×76938000128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183622703 + ... + 183623121.

It is an arithmetic number, because the mean of its divisors is an integer number (1175688360).

Almost surely, 2^76938000128 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 76938000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84649561920).

76938000128 is an abundant number, since it is smaller than the sum of its proper divisors (92361123712).

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

76938000128 is a wasteful number, since it uses less digits than its factorization.

76938000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 76938000128 in words is "seventy-six billion, nine hundred thirty-eight million, one hundred twenty-eight", and thus it is an aban number.