6777261 has 12 divisors (see below), whose sum is σ = 9900540. Its totient is φ = 4466880.

The previous prime is 6777241. The next prime is 6777263. The reversal of 6777261 is 1627776.

It can be written as a sum of positive squares in 2 ways, for example, as 3515625 + 3261636 = 1875^2 + 1806^2 .

It is not a de Polignac number, because 6777261 - 2⁵ = 6777229 is a prime.

6777261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3430 + ... + 5031.

It is an arithmetic number, because the mean of its divisors is an integer number (825045).

Almost surely, 2^6777261 is an apocalyptic number.

It is an amenable number.

6777261 is a deficient number, since it is larger than the sum of its proper divisors (3123279).

6777261 is a wasteful number, since it uses less digits than its factorization.

6777261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8553 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 6777261 is about 2603.3173068222. The cubic root of 6777261 is about 189.2422358021.

The spelling of 6777261 in words is "six million, seven hundred seventy-seven thousand, two hundred sixty-one".