380320 has 24 divisors (see below), whose sum is σ = 898884. Its totient is φ = 152064.

The previous prime is 380311. The next prime is 380327. The reversal of 380320 is 23083.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 5776 = 612^2 + 76^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 380294 and 380303.

It is not an unprimeable number, because it can be changed into a prime (380327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1029 + ... + 1348.

2³⁸⁰³²⁰ is an apocalyptic number.

It is an amenable number.

380320 is an abundant number, since it is smaller than the sum of its proper divisors (518564).

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

380320 is a wasteful number, since it uses less digits than its factorization.

380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 380320 is about 616.7008999507. The cubic root of 380320 is about 72.4518903972.

The spelling of 380320 in words is "three hundred eighty thousand, three hundred twenty".