Subtracting from 1782 its sum of digits (18), we obtain a square (1764 = 422).
1782 divided by its sum of digits (18) gives a palindrome (99).
Subtracting 1782 from its reverse (2871), we obtain a square (1089 = 332).
1782 is nontrivially palindromic in base 16.
1782 is an undulating number in base 16.
It is a plaindrome in base 8.
It is a nialpdrome in base 3 and base 13.
It is a zygodrome in base 8.
It is a congruent number.
1782 is the 27-th heptagonal number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1782 is a wasteful number, since it uses less digits than its factorization.
1782 is an evil number, because the sum of its binary digits is even.
The square root of 1782 is about 42.2137418384. The cubic root of 1782 is about 12.1237200619.
The spelling of 1782 in words is "one thousand, seven hundred eighty-two".