378320 has 20 divisors (see below), whose sum is σ = 879780. Its totient is φ = 151296.

The previous prime is 378317. The next prime is 378353. The reversal of 378320 is 23873.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 322624 = 236^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378320.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2285 + ... + 2444.

It is an arithmetic number, because the mean of its divisors is an integer number (43989).

2³⁷⁸³²⁰ is an apocalyptic number.

It is an amenable number.

378320 is an abundant number, since it is smaller than the sum of its proper divisors (501460).

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

378320 is a wasteful number, since it uses less digits than its factorization.

378320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 378320 is about 615.0772309231. The cubic root of 378320 is about 72.3246654912.

The spelling of 378320 in words is "three hundred seventy-eight thousand, three hundred twenty".