785120 has 48 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 268800.

The previous prime is 785119. The next prime is 785123. The reversal of 785120 is 21587.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (785123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

2⁷⁸⁵¹²⁰ is an apocalyptic number.

785120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424).

785120 is an abundant number, since it is smaller than the sum of its proper divisors (1337728).

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

785120 is a wasteful number, since it uses less digits than its factorization.

785120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 785120 is about 886.0699746634. The cubic root of 785120 is about 92.2526138658.

The spelling of 785120 in words is "seven hundred eighty-five thousand, one hundred twenty".