378120 has 64 divisors (see below), whose sum is σ = 1192320. Its totient is φ = 95744.

The previous prime is 378101. The next prime is 378127. The reversal of 378120 is 21873.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378120.

It is not an unprimeable number, because it can be changed into a prime (378127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2692 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (18630).

2³⁷⁸¹²⁰ is an apocalyptic number.

378120 is a gapful number since it is divisible by the number (30) 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 378120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596160).

378120 is an abundant number, since it is smaller than the sum of its proper divisors (814200).

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

378120 is a wasteful number, since it uses less digits than its factorization.

378120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 378120 is about 614.9146282209. The cubic root of 378120 is about 72.3119183610.

Adding to 378120 its reverse (21873), we get a palindrome (399993).

The spelling of 378120 in words is "three hundred seventy-eight thousand, one hundred twenty".