378500 has 24 divisors (see below), whose sum is σ = 827736. Its totient is φ = 151200.

The previous prime is 378493. The next prime is 378503. The reversal of 378500 is 5873.

378500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8836 + 369664 = 94^2 + 608^2 .

It is not an unprimeable number, because it can be changed into a prime (378503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (34489).

2³⁷⁸⁵⁰⁰ 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 378500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413868).

378500 is an abundant number, since it is smaller than the sum of its proper divisors (449236).

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

378500 is a wasteful number, since it uses less digits than its factorization.

378500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 378500 is about 615.2235366109. The cubic root of 378500 is about 72.3361340677.

It can be divided in two parts, 378 and 500, that added together give a palindrome (878).

The spelling of 378500 in words is "three hundred seventy-eight thousand, five hundred".