378378 has 96 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 90720.

The previous prime is 378361. The next prime is 378379. The reversal of 378378 is 873873.

Its product of digits (28224) is a multiple of the sum of its prime divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378378.

It is not an unprimeable number, because it can be changed into a prime (378379) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29100 + ... + 29112.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2³⁷⁸³⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

378378 is an abundant number, since it is smaller than the sum of its proper divisors (770742).

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

378378 is a wasteful number, since it uses less digits than its factorization.

378378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 378378 is about 615.1243776668. The cubic root of 378378 is about 72.3283613186.

The spelling of 378378 in words is "three hundred seventy-eight thousand, three hundred seventy-eight".