378784 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 152064.

The previous prime is 378779. The next prime is 378793. The reversal of 378784 is 487873.

It is an Ulam number.

It is an unprimeable number.

378784 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4212 + ... + 4300.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁷⁸⁷⁸⁴ 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 378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

378784 is an abundant number, since it is smaller than the sum of its proper divisors (528416).

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

378784 is a wasteful number, since it uses less digits than its factorization.

378784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 378784 is about 615.4543037464. The cubic root of 378784 is about 72.3542215412.

It can be divided in two parts, 3 and 78784, that added together give a palindrome (78787).

The spelling of 378784 in words is "three hundred seventy-eight thousand, seven hundred eighty-four".