789580 has 48 divisors (see below), whose sum is σ = 1876896. Its totient is φ = 276480.

The previous prime is 789577. The next prime is 789587. The reversal of 789580 is 85987.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (789587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 8188.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

2⁷⁸⁹⁵⁸⁰ 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 789580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938448).

789580 is an abundant number, since it is smaller than the sum of its proper divisors (1087316).

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

789580 is a wasteful number, since it uses less digits than its factorization.

789580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 789580 is about 888.5831418612. The cubic root of 789580 is about 92.4269693831.

Subtracting from 789580 its product of nonzero digits (20160), we obtain a triangular number (769420 = T₁₂₄₀).

It can be divided in two parts, 789 and 580, that added together give a square (1369 = 37²).

The spelling of 789580 in words is "seven hundred eighty-nine thousand, five hundred eighty".