378801 has 6 divisors (see below), whose sum is σ = 547170. Its totient is φ = 252528.

The previous prime is 378793. The next prime is 378809. The reversal of 378801 is 108873.

It is an interprime number because it is at equal distance from previous prime (378793) and next prime (378809).

It can be written as a sum of positive squares in only one way, i.e., 378225 + 576 = 615^2 + 24^2 .

It is not a de Polignac number, because 378801 - 2³ = 378793 is a prime.

378801 is a lucky number.

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21036 + ... + 21053.

It is an arithmetic number, because the mean of its divisors is an integer number (91195).

2³⁷⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

378801 is a deficient number, since it is larger than the sum of its proper divisors (168369).

378801 is a wasteful number, since it uses less digits than its factorization.

378801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42095 (or 42092 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 378801 is about 615.4681145275. The cubic root of 378801 is about 72.3553039552.

The spelling of 378801 in words is "three hundred seventy-eight thousand, eight hundred one".