378280 has 48 divisors (see below), whose sum is σ = 995220. Its totient is φ = 129024.

The previous prime is 378277. The next prime is 378283. The reversal of 378280 is 82873.

It is a happy number.

378280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378277) and next prime (378283).

It can be written as a sum of positive squares in 2 ways, for example, as 362404 + 15876 = 602^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (378283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1864 + ... + 2056.

2³⁷⁸²⁸⁰ 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 378280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497610).

378280 is an abundant number, since it is smaller than the sum of its proper divisors (616940).

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

378280 is a wasteful number, since it uses less digits than its factorization.

378280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

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

The square root of 378280 is about 615.0447138217. The cubic root of 378280 is about 72.3221164246.

The spelling of 378280 in words is "three hundred seventy-eight thousand, two hundred eighty".