67782 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 18720.

The previous prime is 67777. The next prime is 67783. The reversal of 67782 is 28776.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67783) by changing a digit.

67782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁶⁷⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

67782 is an abundant number, since it is smaller than the sum of its proper divisors (93498).

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

67782 is a wasteful number, since it uses less digits than its factorization.

67782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108.

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

The square root of 67782 is about 260.3497647397. The cubic root of 67782 is about 40.7728866380.

The spelling of 67782 in words is "sixty-seven thousand, seven hundred eighty-two".