6781977 has 12 divisors (see below), whose sum is σ = 9831744. Its totient is φ = 4504920.

The previous prime is 6781967. The next prime is 6782021. The reversal of 6781977 is 7791876.

It is a happy number.

It is not a de Polignac number, because 6781977 - 2⁴ = 6781961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6781967) 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 11 ways as a sum of consecutive naturals, for example, 1588 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (819312).

Almost surely, 2^6781977 is an apocalyptic number.

It is an amenable number.

6781977 is a deficient number, since it is larger than the sum of its proper divisors (3049767).

6781977 is a wasteful number, since it uses less digits than its factorization.

6781977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2737 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 6781977 is about 2604.2229167258. Note that the first 3 decimals coincide. The cubic root of 6781977 is about 189.2861207606.

It can be divided in two parts, 67819 and 77, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 6781977 in words is "six million, seven hundred eighty-one thousand, nine hundred seventy-seven".