378816 has 28 divisors (see below), whose sum is σ = 1002792. Its totient is φ = 126208.

The previous prime is 378809. The next prime is 378817. The reversal of 378816 is 618873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 795 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (35814).

2³⁷⁸⁸¹⁶ is an apocalyptic number.

It is an amenable number.

378816 is an abundant number, since it is smaller than the sum of its proper divisors (623976).

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

378816 is a wasteful number, since it uses less digits than its factorization.

378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1978 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 378816 is about 615.4803002534. The cubic root of 378816 is about 72.3562589995.

The spelling of 378816 in words is "three hundred seventy-eight thousand, eight hundred sixteen".