378200 has 48 divisors (see below), whose sum is σ = 922560. Its totient is φ = 144000.

The previous prime is 378193. The next prime is 378223. The reversal of 378200 is 2873.

378200 is nontrivially palindromic in base 3.

378200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

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 378200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6170 + ... + 6230.

It is an arithmetic number, because the mean of its divisors is an integer number (19220).

2³⁷⁸²⁰⁰ 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 378200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

378200 is an abundant number, since it is smaller than the sum of its proper divisors (544360).

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

378200 is a wasteful number, since it uses less digits than its factorization.

378200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 378200 is about 614.9796744609. The cubic root of 378200 is about 72.3170177523.

The spelling of 378200 in words is "three hundred seventy-eight thousand, two hundred".