810213300 has 288 divisors, whose sum is σ = 2878565760. Its totient is φ = 194227200.

The previous prime is 810213289. The next prime is 810213323. The reversal of 810213300 is 3312018.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1438819 + ... + 1439381.

It is an arithmetic number, because the mean of its divisors is an integer number (9995020).

Almost surely, 2^810213300 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 810213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439282880).

810213300 is an abundant number, since it is smaller than the sum of its proper divisors (2068352460).

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

810213300 is a wasteful number, since it uses less digits than its factorization.

810213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 810213300 is about 28464.2459938780. The cubic root of 810213300 is about 932.2515683942.

Adding to 810213300 its reverse (3312018), we get a palindrome (813525318).

The spelling of 810213300 in words is "eight hundred ten million, two hundred thirteen thousand, three hundred".