789360 has 160 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 168960.

The previous prime is 789343. The next prime is 789367. The reversal of 789360 is 63987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789367) by changing a digit.

789360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34309 + ... + 34331.

2⁷⁸⁹³⁶⁰ 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 789360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

789360 is an abundant number, since it is smaller than the sum of its proper divisors (2210448).

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

789360 is a wasteful number, since it uses less digits than its factorization.

789360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 789360 is about 888.4593406566. The cubic root of 789360 is about 92.4183843032.

The spelling of 789360 in words is "seven hundred eighty-nine thousand, three hundred sixty".