378840 has 128 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 76800.

The previous prime is 378823. The next prime is 378869. The reversal of 378840 is 48873.

378840 = T₄₃ + T₄₄ + ... + T₁₃₂.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 378798 and 378807.

It is a congruent number.

It is an unprimeable number.

378840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9220 + ... + 9260.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2³⁷⁸⁸⁴⁰ is an apocalyptic number.

378840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 615×616.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

378840 is an abundant number, since it is smaller than the sum of its proper divisors (1072680).

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

378840 is a wasteful number, since it uses less digits than its factorization.

378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 378840 is about 615.4997969130. The cubic root of 378840 is about 72.3577870180.

It can be divided in two parts, 3788 and 40, that added together give a triangular number (3828 = T₈₇).

The spelling of 378840 in words is "three hundred seventy-eight thousand, eight hundred forty".