810003200 has 108 divisors (see below), whose sum is σ = 2035885320. Its totient is φ = 318996480.

The previous prime is 810003163. The next prime is 810003211. The reversal of 810003200 is 2300018.

It is a super-2 number, since 2×810003200² = 1312210368020480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427856 + ... + 429744.

It is an arithmetic number, because the mean of its divisors is an integer number (18850790).

Almost surely, 2^810003200 is an apocalyptic number.

810003200 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 810003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017942660).

810003200 is an abundant number, since it is smaller than the sum of its proper divisors (1225882120).

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

810003200 is a wasteful number, since it uses less digits than its factorization.

810003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 810003200 is about 28460.5551597294. Note that the first 3 decimals coincide. The cubic root of 810003200 is about 932.1709793332.

Adding to 810003200 its reverse (2300018), we get a palindrome (812303218).

The spelling of 810003200 in words is "eight hundred ten million, three thousand, two hundred".