789506880 has 112 divisors (see below), whose sum is σ = 2512551744. Its totient is φ = 210042880.

The previous prime is 789506863. The next prime is 789506903. The reversal of 789506880 is 88605987.

It is a happy number.

789506880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×789506880² = 1246642227134668800, which contains 22 as substring.

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, 614719 + ... + 616001.

Almost surely, 2^789506880 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 789506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256275872).

789506880 is an abundant number, since it is smaller than the sum of its proper divisors (1723044864).

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

789506880 is a wasteful number, since it uses less digits than its factorization.

789506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 789506880 is about 28098.1650646443. The cubic root of 789506880 is about 924.2411619164.

The spelling of 789506880 in words is "seven hundred eighty-nine million, five hundred six thousand, eight hundred eighty".