6872777 has 8 divisors (see below), whose sum is σ = 7345800. Its totient is φ = 6407424.

The previous prime is 6872759. The next prime is 6872779. The reversal of 6872777 is 7772786.

6872777 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1692601 + 5180176 = 1301^2 + 2276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6872777 - 2⁸ = 6872521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6872779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2 + ... + 3707.

It is an arithmetic number, because the mean of its divisors is an integer number (918225).

Almost surely, 2^6872777 is an apocalyptic number.

It is an amenable number.

6872777 is a deficient number, since it is larger than the sum of its proper divisors (473023).

6872777 is a wasteful number, since it uses less digits than its factorization.

6872777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835.

The product of its digits is 230496, while the sum is 44.

The square root of 6872777 is about 2621.5981766854. The cubic root of 6872777 is about 190.1271263722.

Subtracting 6872777 from its reverse (7772786), we obtain a palindrome (900009).

The spelling of 6872777 in words is "six million, eight hundred seventy-two thousand, seven hundred seventy-seven".