6801300900 has 81 divisors (see below), whose sum is σ = 21326057571. Its totient is φ = 1813020480.

The previous prime is 6801300881. The next prime is 6801300901. The reversal of 6801300900 is 90031086.

The square root of 6801300900 is 82470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2010446244 + 4790854656 = 44838^2 + 69216^2 .

It is not an unprimeable number, because it can be changed into a prime (6801300901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2472726 + ... + 2475474.

Almost surely, 2^6801300900 is an apocalyptic number.

6801300900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6801300900 is the 82470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801300900

6801300900 is an abundant number, since it is smaller than the sum of its proper divisors (14524756671).

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

6801300900 is a wasteful number, since it uses less digits than its factorization.

6801300900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 6801300900 is about 1894.6572805164.

Multiplying 6801300900 by its product of nonzero digits (1296), we get a square (8814485966400 = 2968920²).

Adding to 6801300900 its reverse (90031086), we get a palindrome (6891331986).

The spelling of 6801300900 in words is "six billion, eight hundred one million, three hundred thousand, nine hundred".