390320 has 80 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 122880.

The previous prime is 390307. The next prime is 390323. The reversal of 390320 is 23093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390323) 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, 9500 + ... + 9540.

2³⁹⁰³²⁰ 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 390320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

390320 is an abundant number, since it is smaller than the sum of its proper divisors (734608).

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

390320 is a wasteful number, since it uses less digits than its factorization.

390320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 390320 is about 624.7559523526. The cubic root of 390320 is about 73.0814128927.

The spelling of 390320 in words is "three hundred ninety thousand, three hundred twenty".