77920128000 has 1584 divisors, whose sum is σ = 340109017248. Its totient is φ = 17031168000.

The previous prime is 77920127959. The next prime is 77920128017. The reversal of 77920128000 is 82102977.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1812095979 + ... + 1812096021.

Almost surely, 2^77920128000 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 77920128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170054508624).

77920128000 is an abundant number, since it is smaller than the sum of its proper divisors (262188889248).

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

77920128000 is a wasteful number, since it uses less digits than its factorization.

77920128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 77920128000 in words is "seventy-seven billion, nine hundred twenty million, one hundred twenty-eight thousand".