390720 has 112 divisors (see below), whose sum is σ = 1389888. Its totient is φ = 92160.

The previous prime is 390707. The next prime is 390721. The reversal of 390720 is 27093.

It is not an unprimeable number, because it can be changed into a prime (390721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10542 + ... + 10578.

2³⁹⁰⁷²⁰ is an apocalyptic number.

390720 is a gapful number since it is divisible by the number (30) 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 390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944).

390720 is an abundant number, since it is smaller than the sum of its proper divisors (999168).

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

390720 is a wasteful number, since it uses less digits than its factorization.

390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 390720 is about 625.0759953798. The cubic root of 390720 is about 73.1063689843.

The spelling of 390720 in words is "three hundred ninety thousand, seven hundred twenty".