378540 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 100800.

The previous prime is 378533. The next prime is 378551. The reversal of 378540 is 45873.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378540.

It is an unprimeable number.

378540 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 15 ways as a sum of consecutive naturals, for example, 190 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2³⁷⁸⁵⁴⁰ is an apocalyptic number.

378540 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 378540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

378540 is an abundant number, since it is smaller than the sum of its proper divisors (800820).

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

378540 is a wasteful number, since it uses less digits than its factorization.

378540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 378540 is about 615.2560442612. The cubic root of 378540 is about 72.3386821465.

The spelling of 378540 in words is "three hundred seventy-eight thousand, five hundred forty".