6786000 has 240 divisors, whose sum is σ = 26404560. Its totient is φ = 1612800.

The previous prime is 6785969. The next prime is 6786037. The reversal of 6786000 is 6876.

6786000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3415104 + 3370896 = 1848^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent 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, 233986 + ... + 234014.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

Almost surely, 2^6786000 is an apocalyptic number.

6786000 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 6786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202280).

6786000 is an abundant number, since it is smaller than the sum of its proper divisors (19618560).

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

6786000 is a wasteful number, since it uses less digits than its factorization.

6786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

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

The square root of 6786000 is about 2604.9952015311. The cubic root of 6786000 is about 189.3235408985.

The spelling of 6786000 in words is "six million, seven hundred eighty-six thousand".