378765 has 24 divisors (see below), whose sum is σ = 692640. Its totient is φ = 190944.

The previous prime is 378761. The next prime is 378779. The reversal of 378765 is 567873.

It is not a de Polignac number, because 378765 - 2² = 378761 is a prime.

378765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378761) 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, 634 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2³⁷⁸⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

378765 is a deficient number, since it is larger than the sum of its proper divisors (313875).

378765 is a wasteful number, since it uses less digits than its factorization.

378765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 378765 is about 615.4388678009. The cubic root of 378765 is about 72.3530117460.

The spelling of 378765 in words is "three hundred seventy-eight thousand, seven hundred sixty-five".