6777 has 8 divisors (see below), whose sum is σ = 10080. Its totient is φ = 4500.

The previous prime is 6763. The next prime is 6779. The reversal of 6777 is 7776.

It is not a de Polignac number, because 6777 - 2⁴ = 6761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 251 = 6777 / (6 + 7 + 7 + 7).

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6777.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6777.

It is not an unprimeable number, because it can be changed into a prime (6779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

6777 is a deficient number, since it is larger than the sum of its proper divisors (3303).

6777 is a wasteful number, since it uses less digits than its factorization.

6777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 6777 is about 82.3225364041. The cubic root of 6777 is about 18.9239806460.

Subtracting 6777 from its reverse (7776), we obtain a palindrome (999).

It can be divided in two parts, 67 and 77, that added together give a square (144 = 12²).

The spelling of 6777 in words is "six thousand, seven hundred seventy-seven".