6780600 has 72 divisors (see below), whose sum is σ = 22777560. Its totient is φ = 1807680.

The previous prime is 6780581. The next prime is 6780611. The reversal of 6780600 is 60876.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84 + ... + 3683.

It is an arithmetic number, because the mean of its divisors is an integer number (316355).

Almost surely, 2^6780600 is an apocalyptic number.

6780600 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 6780600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388780).

6780600 is an abundant number, since it is smaller than the sum of its proper divisors (15996960).

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

6780600 is a wasteful number, since it uses less digits than its factorization.

6780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3777 counting only the distinct ones).

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

The square root of 6780600 is about 2603.9585250153. The cubic root of 6780600 is about 189.2733091262.

The spelling of 6780600 in words is "six million, seven hundred eighty thousand, six hundred".