40782 has 16 divisors (see below), whose sum is σ = 93312. Its totient is φ = 11640.

The previous prime is 40771. The next prime is 40787. The reversal of 40782 is 28704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 40782.

It is not an unprimeable number, because it can be changed into a prime (40787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2⁴⁰⁷⁸² is an apocalyptic number.

40782 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40782 is an abundant number, since it is smaller than the sum of its proper divisors (52530).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656).

40782 is a wasteful number, since it uses less digits than its factorization.

40782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40782 is about 201.9455372124. The cubic root of 40782 is about 34.4209490210.

The spelling of 40782 in words is "forty thousand, seven hundred eighty-two".