789504 has 44 divisors (see below), whose sum is σ = 2112504. Its totient is φ = 262144.

The previous prime is 789493. The next prime is 789511. The reversal of 789504 is 405987.

It is a super-4 number, since 4×789504⁴ (a number of 25 digits) contains 4444 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 789504 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2944 + ... + 3200.

789504 is a Friedman number, since it can be written as (780-9)*4^5, using all its digits and the basic arithmetic operations.

2⁷⁸⁹⁵⁰⁴ 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 789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056252).

789504 is an abundant number, since it is smaller than the sum of its proper divisors (1323000).

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

789504 is a wasteful number, since it uses less digits than its factorization.

789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 789504 is about 888.5403761225. The cubic root of 789504 is about 92.4240038085.

The spelling of 789504 in words is "seven hundred eighty-nine thousand, five hundred four".