76938000129 has 9 divisors (see below), whose sum is σ = 111133868833. Its totient is φ = 51291445332.

The previous prime is 76938000109. The next prime is 76938000203. The reversal of 76938000129 is 92100083967.

The square root of 76938000129 is 277377.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 76938000129 - 2⁷ = 76938000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76938000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 785902 + ... + 878360.

Almost surely, 2^76938000129 is an apocalyptic number.

76938000129 is the 277377-th square number.

76938000129 is the 138689-th centered octagonal number.

It is an amenable number.

76938000129 is a deficient number, since it is larger than the sum of its proper divisors (34195868704).

76938000129 is an frugal number, since it uses more digits than its factorization.

76938000129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184924 (or 92462 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 76938000129 in words is "seventy-six billion, nine hundred thirty-eight million, one hundred twenty-nine", and thus it is an aban number.