810230400 has 288 divisors, whose sum is σ = 3304922400. Its totient is φ = 185149440.

The previous prime is 810230363. The next prime is 810230401. The reversal of 810230400 is 4032018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (810230401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199591 + ... + 203609.

It is an arithmetic number, because the mean of its divisors is an integer number (11475425).

Almost surely, 2^810230400 is an apocalyptic number.

810230400 is a gapful number since it is divisible by the number (80) 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 810230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652461200).

810230400 is an abundant number, since it is smaller than the sum of its proper divisors (2494692000).

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

810230400 is a wasteful number, since it uses less digits than its factorization.

810230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 810230400 is about 28464.5463691238. The cubic root of 810230400 is about 932.2581269098.

Adding to 810230400 its reverse (4032018), we get a palindrome (814262418).

The spelling of 810230400 in words is "eight hundred ten million, two hundred thirty thousand, four hundred".