785160 has 64 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 209088.

The previous prime is 785159. The next prime is 785167. The reversal of 785160 is 61587.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (785167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717 + ... + 1443.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁷⁸⁵¹⁶⁰ 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 785160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

785160 is an abundant number, since it is smaller than the sum of its proper divisors (1835640).

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

785160 is a wasteful number, since it uses less digits than its factorization.

785160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 785160 is about 886.0925459567. The cubic root of 785160 is about 92.2541805231.

The spelling of 785160 in words is "seven hundred eighty-five thousand, one hundred sixty".