6788 has 6 divisors (see below), whose sum is σ = 11886. Its totient is φ = 3392.

The previous prime is 6781. The next prime is 6791. The reversal of 6788 is 8876.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 64 = 82^2 + 8^2 .

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 6788.

It is not an unprimeable number, because it can be changed into a prime (6781) by changing a digit.

6788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 845 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (1981).

2⁶⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

6788 is a deficient number, since it is larger than the sum of its proper divisors (5098).

6788 is a wasteful number, since it uses less digits than its factorization.

6788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 6788 is about 82.3893196962. The cubic root of 6788 is about 18.9342138496.

It can be divided in two parts, 678 and 8, that added together give a palindrome (686).

The spelling of 6788 in words is "six thousand, seven hundred eighty-eight".