810540900 has 243 divisors, whose sum is σ = 2789260929. Its totient is φ = 196784640.

The previous prime is 810540877. The next prime is 810540901. The reversal of 810540900 is 9045018.

The square root of 810540900 is 28470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 729972324 + 80568576 = 27018^2 + 8976^2 .

It is not an unprimeable number, because it can be changed into a prime (810540901) 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 80 ways as a sum of consecutive naturals, for example, 11103264 + ... + 11103336.

Almost surely, 2^810540900 is an apocalyptic number.

810540900 is the 28470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810540900

810540900 is an abundant number, since it is smaller than the sum of its proper divisors (1978720029).

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

810540900 is a wasteful number, since it uses less digits than its factorization.

810540900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 810540900 is about 932.3771996984.

Adding to 810540900 its reverse (9045018), we get a palindrome (819585918).

The spelling of 810540900 in words is "eight hundred ten million, five hundred forty thousand, nine hundred".