77808101680125 has 192 divisors, whose sum is σ = 146684963543040. Its totient is φ = 39635296128000.

The previous prime is 77808101680109. The next prime is 77808101680129. The reversal of 77808101680125 is 52108610180877.

It is not a de Polignac number, because 77808101680125 - 2⁴ = 77808101680109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77808101680129) 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 191 ways as a sum of consecutive naturals, for example, 1003768369 + ... + 1003845881.

It is an arithmetic number, because the mean of its divisors is an integer number (763984185120).

Almost surely, 2^{77808101680125} is an apocalyptic number.

77808101680125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77808101680125 is a deficient number, since it is larger than the sum of its proper divisors (68876861862915).

77808101680125 is a wasteful number, since it uses less digits than its factorization.

77808101680125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77941 (or 77928 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 77808101680125 in words is "seventy-seven trillion, eight hundred eight billion, one hundred one million, six hundred eighty thousand, one hundred twenty-five".