380727 has 16 divisors (see below), whose sum is σ = 576000. Its totient is φ = 248472.

The previous prime is 380713. The next prime is 380729. The reversal of 380727 is 727083.

It is not a de Polignac number, because 380727 - 2¹⁰ = 379703 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 380727.

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 380727.

It is not an unprimeable number, because it can be changed into a prime (380729) 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, 1474 + ... + 1712.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2³⁸⁰⁷²⁷ is an apocalyptic number.

380727 is a deficient number, since it is larger than the sum of its proper divisors (195273).

380727 is a wasteful number, since it uses less digits than its factorization.

380727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

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

The square root of 380727 is about 617.0307933969. The cubic root of 380727 is about 72.4777260152.

The spelling of 380727 in words is "three hundred eighty thousand, seven hundred twenty-seven".