6780300 has 72 divisors (see below), whose sum is σ = 19904976. Its totient is φ = 1781760.

The previous prime is 6780299. The next prime is 6780307. The reversal of 6780300 is 30876.

It is not an unprimeable number, because it can be changed into a prime (6780307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28984 + ... + 29216.

It is an arithmetic number, because the mean of its divisors is an integer number (276458).

Almost surely, 2^6780300 is an apocalyptic number.

6780300 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 6780300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952488).

6780300 is an abundant number, since it is smaller than the sum of its proper divisors (13124676).

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

6780300 is a wasteful number, since it uses less digits than its factorization.

6780300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6780300 is about 2603.9009197740. The cubic root of 6780300 is about 189.2705176903.

The spelling of 6780300 in words is "six million, seven hundred eighty thousand, three hundred".