77837058960 has 80 divisors (see below), whose sum is σ = 245250582720. Its totient is φ = 20416273920.

The previous prime is 77837058941. The next prime is 77837058997. The reversal of 77837058960 is 6985073877.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77837058894 and 77837058903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2643730 + ... + 2673009.

It is an arithmetic number, because the mean of its divisors is an integer number (3065632284).

Almost surely, 2^77837058960 is an apocalyptic number.

It is an amenable number.

77837058960 is an abundant number, since it is smaller than the sum of its proper divisors (167413523760).

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

77837058960 is a wasteful number, since it uses less digits than its factorization.

77837058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316816 (or 5316810 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 77837058960 in words is "seventy-seven billion, eight hundred thirty-seven million, fifty-eight thousand, nine hundred sixty".