77889907160 has 64 divisors (see below), whose sum is σ = 188923795200. Its totient is φ = 28730313216.

The previous prime is 77889907129. The next prime is 77889907187. The reversal of 77889907160 is 6170998877.

It is a junction number, because it is equal to n+sod(n) for n = 77889907093 and 77889907102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443321 + ... + 593559.

It is an arithmetic number, because the mean of its divisors is an integer number (2951934300).

Almost surely, 2^77889907160 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 77889907160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94461897600).

77889907160 is an abundant number, since it is smaller than the sum of its proper divisors (111033888040).

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

77889907160 is a wasteful number, since it uses less digits than its factorization.

77889907160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151260 (or 151256 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 62.

The spelling of 77889907160 in words is "seventy-seven billion, eight hundred eighty-nine million, nine hundred seven thousand, one hundred sixty".