10782 has 12 divisors (see below), whose sum is σ = 23400. Its totient is φ = 3588.

The previous prime is 10781. The next prime is 10789. The reversal of 10782 is 28701.

10782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 599 = 10782 / (1 + 0 + 7 + 8 + 2).

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 10782.

It is not an unprimeable number, because it can be changed into a prime (10781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

2¹⁰⁷⁸² is an apocalyptic number.

10782 is an abundant number, since it is smaller than the sum of its proper divisors (12618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10782 is a wasteful number, since it uses less digits than its factorization.

10782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10782 is about 103.8364097993. The cubic root of 10782 is about 22.0919020582.

The spelling of 10782 in words is "ten thousand, seven hundred eighty-two".