6774768 has 240 divisors, whose sum is σ = 25998336. Its totient is φ = 1589760.

The previous prime is 6774767. The next prime is 6774797. The reversal of 6774768 is 8674776.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144121 + ... + 144167.

Almost surely, 2^6774768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6774768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

6774768 is an abundant number, since it is smaller than the sum of its proper divisors (19223568).

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

6774768 is a wasteful number, since it uses less digits than its factorization.

6774768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 6774768 is about 2602.8384506150. The cubic root of 6774768 is about 189.2190288480.

It can be divided in two parts, 677 and 4768, that added together give a palindrome (5445).

The spelling of 6774768 in words is "six million, seven hundred seventy-four thousand, seven hundred sixty-eight".