77989810560 has 64 divisors (see below), whose sum is σ = 248592527280. Its totient is φ = 20797282304.

The previous prime is 77989810523. The next prime is 77989810573. The reversal of 77989810560 is 6501898977.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 = 77989810494 and 77989810503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20307927 + ... + 20311766.

Almost surely, 2^77989810560 is an apocalyptic number.

It is an amenable number.

77989810560 is an abundant number, since it is smaller than the sum of its proper divisors (170602716720).

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

77989810560 is a wasteful number, since it uses less digits than its factorization.

77989810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619715 (or 40619703 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 77989810560 in words is "seventy-seven billion, nine hundred eighty-nine million, eight hundred ten thousand, five hundred sixty".