6777344 has 80 divisors (see below), whose sum is σ = 16237056. Its totient is φ = 2764800.

The previous prime is 6777317. The next prime is 6777349. The reversal of 6777344 is 4437776.

It is a junction number, because it is equal to n+sod(n) for n = 6777298 and 6777307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6777349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111074 + ... + 111134.

Almost surely, 2^6777344 is an apocalyptic number.

6777344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118528).

6777344 is an abundant number, since it is smaller than the sum of its proper divisors (9459712).

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

6777344 is an equidigital number, since it uses as much as digits as its factorization.

6777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its digits is 98784, while the sum is 38.

The square root of 6777344 is about 2603.3332479727. Note that the first 3 decimals coincide. The cubic root of 6777344 is about 189.2430083384.

The spelling of 6777344 in words is "six million, seven hundred seventy-seven thousand, three hundred forty-four".