76782 has 16 divisors (see below), whose sum is σ = 156672. Its totient is φ = 25080.

The previous prime is 76781. The next prime is 76801. The reversal of 76782 is 28767.

It is a plaindrome in base 16.

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 76782.

It is not an unprimeable number, because it can be changed into a prime (76781) 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 7 ways as a sum of consecutive naturals, for example, 307 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2⁷⁶⁷⁸² is an apocalyptic number.

76782 is an abundant number, since it is smaller than the sum of its proper divisors (79890).

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 (78336).

76782 is a wasteful number, since it uses less digits than its factorization.

76782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 4704, while the sum is 30.

The square root of 76782 is about 277.0956513553. The cubic root of 76782 is about 42.5030216998.

It can be divided in two parts, 76 and 782, that added together give a palindrome (858).

The spelling of 76782 in words is "seventy-six thousand, seven hundred eighty-two".