77350428385920 has 320 divisors, whose sum is σ = 280355229237600. Its totient is φ = 20318917588992.

The previous prime is 77350428385883. The next prime is 77350428385927. The reversal of 77350428385920 is 2958382405377.

77350428385920 is a `hidden beast` number, since 7 + 7 + 3 + 5 + 0 + 4 + 2 + 8 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (77350428385927) 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 39 ways as a sum of consecutive naturals, for example, 7661790 + ... + 14608349.

Almost surely, 2^{77350428385920} is an apocalyptic number.

It is an amenable number.

77350428385920 is an abundant number, since it is smaller than the sum of its proper divisors (203004800851680).

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

77350428385920 is a wasteful number, since it uses less digits than its factorization.

77350428385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22270237 (or 22270216 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 77350428385920 in words is "seventy-seven trillion, three hundred fifty billion, four hundred twenty-eight million, three hundred eighty-five thousand, nine hundred twenty".