789120 has 96 divisors (see below), whose sum is σ = 2744820. Its totient is φ = 208896.

The previous prime is 789109. The next prime is 789121. The reversal of 789120 is 21987.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 576 = 888^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (789121) by changing a digit.

789120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5692 + ... + 5828.

2⁷⁸⁹¹²⁰ 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 789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372410).

789120 is an abundant number, since it is smaller than the sum of its proper divisors (1955700).

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

789120 is a wasteful number, since it uses less digits than its factorization.

789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 789120 is about 888.3242651194. The cubic root of 789120 is about 92.4090169420.

It can be divided in two parts, 789 and 120, that added together give a palindrome (909).

The spelling of 789120 in words is "seven hundred eighty-nine thousand, one hundred twenty".