378000 has 160 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 86400.

The previous prime is 377999. The next prime is 378011. The reversal of 378000 is 873.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53997 + ... + 54003.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2³⁷⁸⁰⁰⁰ is an apocalyptic number.

378000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760).

378000 is an abundant number, since it is smaller than the sum of its proper divisors (1169520).

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

378000 is a wasteful number, since it uses less digits than its factorization.

378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 378000 is about 614.8170459576. The cubic root of 378000 is about 72.3042679253.

Adding to 378000 its reverse (873), we get a palindrome (378873).

The spelling of 378000 in words is "three hundred seventy-eight thousand".