810225000 has 288 divisors, whose sum is σ = 2964419640. Its totient is φ = 198720000.

The previous prime is 810224983. The next prime is 810225007. The reversal of 810225000 is 522018.

It can be written as a sum of positive squares in 12 ways, for example, as 657307044 + 152917956 = 25638^2 + 12366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810225007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2924862 + ... + 2925138.

Almost surely, 2^810225000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482209820).

810225000 is an abundant number, since it is smaller than the sum of its proper divisors (2154194640).

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

810225000 is a wasteful number, since it uses less digits than its factorization.

810225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 810225000 is about 28464.4515141255. The cubic root of 810225000 is about 932.2560558096.

Adding to 810225000 its reverse (522018), we get a palindrome (810747018).

It can be divided in two parts, 810 and 225000, that multiplied together give a square (182250000 = 13500²).

The spelling of 810225000 in words is "eight hundred ten million, two hundred twenty-five thousand".