77117164788160 has 112 divisors (see below), whose sum is σ = 210934180949184. Its totient is φ = 26305956569088.

The previous prime is 77117164788151. The next prime is 77117164788203. The reversal of 77117164788160 is 6188746171177.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 77117164788092 and 77117164788101.

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, 86937669 + ... + 87820228.

It is an arithmetic number, because the mean of its divisors is an integer number (1883340901332).

Almost surely, 2^{77117164788160} is an apocalyptic number.

77117164788160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77117164788160 is an abundant number, since it is smaller than the sum of its proper divisors (133817016161024).

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

77117164788160 is a wasteful number, since it uses less digits than its factorization.

77117164788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174758118 (or 174758108 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 64.

The spelling of 77117164788160 in words is "seventy-seven trillion, one hundred seventeen billion, one hundred sixty-four million, seven hundred eighty-eight thousand, one hundred sixty".