• 768 can be written using four 4's:
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)5.
768 is nontrivially palindromic in base 15.
768 is an undulating number in base 15.
It is a plaindrome in base 14.
It is a nialpdrome in base 2, base 4, base 6, base 12 and base 16.
It is a zygodrome in base 2.
768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
In principle, a polygon with 768 sides can be constructed with ruler and compass.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
768 is an equidigital number, since it uses as much as digits as its factorization.
768 is an evil number, because the sum of its binary digits is even.
The square root of 768 is about 27.7128129211. The cubic root of 768 is about 9.1577139404.
Subtracting from 768 its sum of digits (21), we obtain a palindrome (747).
Subtracting 768 from its reverse (867), we obtain a palindrome (99).
Multiplying 768 by its reverse (867), we get a square (665856 = 8162).