378080 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 141312.

The previous prime is 378071. The next prime is 378083. The reversal of 378080 is 80873.

It is a super-3 number, since 3×378080³ = 162133354254336000, which contains 333 as substring.

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 378080.

It is not an unprimeable number, because it can be changed into a prime (378083) by changing a digit.

378080 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, 2651 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2³⁷⁸⁰⁸⁰ 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 378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

378080 is an abundant number, since it is smaller than the sum of its proper divisors (574480).

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

378080 is a wasteful number, since it uses less digits than its factorization.

378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 378080 is about 614.8821025205. The cubic root of 378080 is about 72.3093683956.

The spelling of 378080 in words is "three hundred seventy-eight thousand, eighty".