6768900 has 144 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 1710720.

The previous prime is 6768889. The next prime is 6768911. The reversal of 6768900 is 98676.

It is an interprime number because it is at equal distance from previous prime (6768889) and next prime (6768911).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62046 + ... + 62154.

Almost surely, 2^6768900 is an apocalyptic number.

6768900 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 6768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

6768900 is an abundant number, since it is smaller than the sum of its proper divisors (16146300).

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

6768900 is a wasteful number, since it uses less digits than its factorization.

6768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6768900 is about 2601.7109754929. The cubic root of 6768900 is about 189.1643820571.

The spelling of 6768900 in words is "six million, seven hundred sixty-eight thousand, nine hundred".