378729 has 24 divisors (see below), whose sum is σ = 614880. Its totient is φ = 230256.

The previous prime is 378713. The next prime is 378733. The reversal of 378729 is 927873.

It is not a de Polignac number, because 378729 - 2⁴ = 378713 is a prime.

378729 is a modest number, since divided by 729 gives 378 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 378693 and 378702.

It is not an unprimeable number, because it can be changed into a prime (378739) 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 23 ways as a sum of consecutive naturals, for example, 4522 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (25620).

2³⁷⁸⁷²⁹ is an apocalyptic number.

378729 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

378729 is a deficient number, since it is larger than the sum of its proper divisors (236151).

378729 is a wasteful number, since it uses less digits than its factorization.

378729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 378729 is about 615.4096196843. The cubic root of 378729 is about 72.3507193915.

The spelling of 378729 in words is "three hundred seventy-eight thousand, seven hundred twenty-nine".