6777849 has 16 divisors (see below), whose sum is σ = 10305792. Its totient is φ = 3925248.

The previous prime is 6777839. The next prime is 6777923. The reversal of 6777849 is 9487776.

It is not a de Polignac number, because 6777849 - 2¹¹ = 6775801 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6777798 and 6777807.

It is not an unprimeable number, because it can be changed into a prime (6777829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449 + ... + 5774.

It is an arithmetic number, because the mean of its divisors is an integer number (644112).

Almost surely, 2^6777849 is an apocalyptic number.

It is an amenable number.

6777849 is a deficient number, since it is larger than the sum of its proper divisors (3527943).

6777849 is a wasteful number, since it uses less digits than its factorization.

6777849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10256.

The product of its digits is 592704, while the sum is 48.

The square root of 6777849 is about 2603.4302372063. The cubic root of 6777849 is about 189.2477085743.

It can be divided in two parts, 6777 and 849, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 6777849 in words is "six million, seven hundred seventy-seven thousand, eight hundred forty-nine".