77876995468800 has 2160 divisors, whose sum is σ = 306226532747520. Its totient is φ = 17377306214400.

The previous prime is 77876995468747. The next prime is 77876995468829. The reversal of 77876995468800 is 886459967877.

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 215 ways as a sum of consecutive naturals, for example, 568445222332 + ... + 568445222468.

Almost surely, 2^{77876995468800} 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 77876995468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153113266373760).

77876995468800 is an abundant number, since it is smaller than the sum of its proper divisors (228349537278720).

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

77876995468800 is a wasteful number, since it uses less digits than its factorization.

77876995468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 84.

The spelling of 77876995468800 in words is "seventy-seven trillion, eight hundred seventy-six billion, nine hundred ninety-five million, four hundred sixty-eight thousand, eight hundred".