390800 has 30 divisors (see below), whose sum is σ = 939858. Its totient is φ = 156160.

The previous prime is 390791. The next prime is 390809. The reversal of 390800 is 8093.

It is an interprime number because it is at equal distance from previous prime (390791) and next prime (390809).

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 295936 = 308^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (390809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89 + ... + 888.

2³⁹⁰⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

390800 is an abundant number, since it is smaller than the sum of its proper divisors (549058).

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

390800 is a wasteful number, since it uses less digits than its factorization.

390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 390800 is about 625.1399843235. The cubic root of 390800 is about 73.1113581584. Note that the first 3 decimals are identical.

Adding to 390800 its reverse (8093), we get a palindrome (398893).

The spelling of 390800 in words is "three hundred ninety thousand, eight hundred".