378720 has 72 divisors (see below), whose sum is σ = 1297296. Its totient is φ = 100608.

The previous prime is 378713. The next prime is 378733. The reversal of 378720 is 27873.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a nialpdrome in base 15.

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 378720.

It is an unprimeable number.

378720 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 11 ways as a sum of consecutive naturals, for example, 1309 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2³⁷⁸⁷²⁰ is an apocalyptic number.

378720 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 378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648648).

378720 is an abundant number, since it is smaller than the sum of its proper divisors (918576).

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

378720 is a wasteful number, since it uses less digits than its factorization.

378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 378720 is about 615.4023074380. The cubic root of 378720 is about 72.3501462802.

The spelling of 378720 in words is "three hundred seventy-eight thousand, seven hundred twenty".