378820 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 132480.

The previous prime is 378817. The next prime is 378821. The reversal of 378820 is 28873.

378820 = 42² + 43² + ... + 106².

It is a happy number.

378820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (378821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8037 + ... + 8083.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2³⁷⁸⁸²⁰ 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 378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

378820 is an abundant number, since it is smaller than the sum of its proper divisors (524348).

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

378820 is a wasteful number, since it uses less digits than its factorization.

378820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 378820 is about 615.4835497396. The cubic root of 378820 is about 72.3565136738.

The spelling of 378820 in words is "three hundred seventy-eight thousand, eight hundred twenty".