6780900 has 72 divisors (see below), whose sum is σ = 22429120. Its totient is φ = 1549440.

The previous prime is 6780881. The next prime is 6780901. The reversal of 6780900 is 90876.

It is a happy number.

6780900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6780901) 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, 486 + ... + 3714.

Almost surely, 2^6780900 is an apocalyptic number.

6780900 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 6780900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11214560).

6780900 is an abundant number, since it is smaller than the sum of its proper divisors (15648220).

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

6780900 is a wasteful number, since it uses less digits than its factorization.

6780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 6780900 is about 2604.0161289823. The cubic root of 6780900 is about 189.2761004797.

The spelling of 6780900 in words is "six million, seven hundred eighty thousand, nine hundred".