77968145435760 has 120 divisors (see below), whose sum is σ = 261899476824960. Its totient is φ = 20787022665216.

The previous prime is 77968145435749. The next prime is 77968145435773. The reversal of 77968145435760 is 6753454186977.

77968145435760 is a `hidden beast` number, since 7 + 7 + 9 + 6 + 8 + 1 + 4 + 5 + 43 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8331519 + ... + 15011678.

It is an arithmetic number, because the mean of its divisors is an integer number (2182495640208).

Almost surely, 2^{77968145435760} is an apocalyptic number.

It is an amenable number.

77968145435760 is an abundant number, since it is smaller than the sum of its proper divisors (183931331389200).

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

77968145435760 is a wasteful number, since it uses less digits than its factorization.

77968145435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23347855 (or 23347846 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 77968145435760 in words is "seventy-seven trillion, nine hundred sixty-eight billion, one hundred forty-five million, four hundred thirty-five thousand, seven hundred sixty".