77904853255680 has 320 divisors, whose sum is σ = 271817153803008. Its totient is φ = 18877407068160.

The previous prime is 77904853255661. The next prime is 77904853255703. The reversal of 77904853255680 is 8655235840977.

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

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 185900142 + ... + 186318738.

Almost surely, 2^{77904853255680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77904853255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135908576901504).

77904853255680 is an abundant number, since it is smaller than the sum of its proper divisors (193912300547328).

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

77904853255680 is a wasteful number, since it uses less digits than its factorization.

77904853255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420837 (or 420821 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 69.

The spelling of 77904853255680 in words is "seventy-seven trillion, nine hundred four billion, eight hundred fifty-three million, two hundred fifty-five thousand, six hundred eighty".