77935826328129 has 135 divisors (see below), whose sum is σ = 148873238290161. Its totient is φ = 40482965421360.

The previous prime is 77935826328127. The next prime is 77935826328187. The reversal of 77935826328129 is 92182362853977.

The square root of 77935826328129 is 8828127.

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

77935826328129 is a `hidden beast` number, since 7 + 7 + 9 + 3 + 582 + 6 + 3 + 28 + 12 + 9 = 666.

It is not a de Polignac number, because 77935826328129 - 2¹ = 77935826328127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77935826328127) 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 134 ways as a sum of consecutive naturals, for example, 6117885642 + ... + 6117898380.

Almost surely, 2^{77935826328129} is an apocalyptic number.

77935826328129 is the 8828127-th square number.

77935826328129 is the 4414064-th centered octagonal number.

It is an amenable number.

77935826328129 is a deficient number, since it is larger than the sum of its proper divisors (70937411962032).

77935826328129 is an frugal number, since it uses more digits than its factorization.

77935826328129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25526 (or 12760 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 77935826328129 in words is "seventy-seven trillion, nine hundred thirty-five billion, eight hundred twenty-six million, three hundred twenty-eight thousand, one hundred twenty-nine".