378800 has 30 divisors (see below), whose sum is σ = 911028. Its totient is φ = 151360.

The previous prime is 378793. The next prime is 378809. The reversal of 378800 is 8873.

It is a self number, because there is not a number n which added to its sum of digits gives 378800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378800.

It is not an unprimeable number, because it can be changed into a prime (378809) by changing a digit.

378800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74 + ... + 873.

2³⁷⁸⁸⁰⁰ 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 378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455514).

378800 is an abundant number, since it is smaller than the sum of its proper divisors (532228).

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

378800 is a wasteful number, since it uses less digits than its factorization.

378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 378800 is about 615.4673021372. The cubic root of 378800 is about 72.3552402847.

The spelling of 378800 in words is "three hundred seventy-eight thousand, eight hundred".