378807 has 16 divisors (see below), whose sum is σ = 594048. Its totient is φ = 211680.

The previous prime is 378793. The next prime is 378809. The reversal of 378807 is 708873.

It is not a de Polignac number, because 378807 - 2⁸ = 378551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 378807.

It is not an unprimeable number, because it can be changed into a prime (378809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (37128).

2³⁷⁸⁸⁰⁷ is an apocalyptic number.

378807 is a deficient number, since it is larger than the sum of its proper divisors (215241).

378807 is a wasteful number, since it uses less digits than its factorization.

378807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 378807 is about 615.4729888468. The cubic root of 378807 is about 72.3556859760.

The spelling of 378807 in words is "three hundred seventy-eight thousand, eight hundred seven".