6768000 has 192 divisors, whose sum is σ = 24822720. Its totient is φ = 1766400.

The previous prime is 6767983. The next prime is 6768001. The reversal of 6768000 is 8676.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143977 + ... + 144023.

It is an arithmetic number, because the mean of its divisors is an integer number (129285).

Almost surely, 2^6768000 is an apocalyptic number.

6768000 is a gapful number since it is divisible by the number (60) 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 6768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411360).

6768000 is an abundant number, since it is smaller than the sum of its proper divisors (18054720).

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

6768000 is a wasteful number, since it uses less digits than its factorization.

6768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6768000 is about 2601.5380066415. The cubic root of 6768000 is about 189.1559978544.

The spelling of 6768000 in words is "six million, seven hundred sixty-eight thousand".