6778120 has 32 divisors (see below), whose sum is σ = 15626520. Its totient is φ = 2644480.

The previous prime is 6778111. The next prime is 6778127. The reversal of 6778120 is 218776.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4485924 + 2292196 = 2118^2 + 1514^2 .

It is not an unprimeable number, because it can be changed into a prime (6778127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 3706.

Almost surely, 2^6778120 is an apocalyptic number.

It is an amenable number.

6778120 is an abundant number, since it is smaller than the sum of its proper divisors (8848400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6778120 is a wasteful number, since it uses less digits than its factorization.

6778120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 6778120 is about 2603.4822834043. The cubic root of 6778120 is about 189.2502307828.

It can be divided in two parts, 67 and 78120, that added together give a palindrome (78187).

The spelling of 6778120 in words is "six million, seven hundred seventy-eight thousand, one hundred twenty".