378756 has 60 divisors (see below), whose sum is σ = 1138368. Its totient is φ = 107568.

The previous prime is 378739. The next prime is 378757. The reversal of 378756 is 657873.

It is a super-2 number, since 2×378756² = 286912215072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 378756.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378756.

It is not an unprimeable number, because it can be changed into a prime (378757) by changing a digit.

378756 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 19 ways as a sum of consecutive naturals, for example, 2185 + ... + 2351.

2³⁷⁸⁷⁵⁶ is an apocalyptic number.

378756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569184).

378756 is an abundant number, since it is smaller than the sum of its proper divisors (759612).

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

378756 is a wasteful number, since it uses less digits than its factorization.

378756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 378756 is about 615.4315559020. The cubic root of 378756 is about 72.3524386710.

The spelling of 378756 in words is "three hundred seventy-eight thousand, seven hundred fifty-six".