378880 has 48 divisors (see below), whose sum is σ = 933660. Its totient is φ = 147456.

The previous prime is 378869. The next prime is 378883. The reversal of 378880 is 88873.

378880 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 2 ways, for example, as 369664 + 9216 = 608^2 + 96^2 .

It is not an unprimeable number, because it can be changed into a prime (378883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10222 + ... + 10258.

2³⁷⁸⁸⁸⁰ 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 378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466830).

378880 is an abundant number, since it is smaller than the sum of its proper divisors (554780).

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

378880 is an equidigital number, since it uses as much as digits as its factorization.

378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 378880 is about 615.5322899735. The cubic root of 378880 is about 72.3603335721.

The spelling of 378880 in words is "three hundred seventy-eight thousand, eight hundred eighty".