811027200 has 216 divisors, whose sum is σ = 2730481488. Its totient is φ = 211927040.

The previous prime is 811027187. The next prime is 811027213. The reversal of 811027200 is 2720118.

It is an interprime number because it is at equal distance from previous prime (811027187) and next prime (811027213).

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 23 ways as a sum of consecutive naturals, for example, 1017202 + ... + 1017998.

It is an arithmetic number, because the mean of its divisors is an integer number (12641118).

Almost surely, 2^811027200 is an apocalyptic number.

811027200 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 811027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365240744).

811027200 is an abundant number, since it is smaller than the sum of its proper divisors (1919454288).

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

811027200 is a wasteful number, since it uses less digits than its factorization.

811027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 811027200 is about 28478.5392883835. The cubic root of 811027200 is about 932.5636284499.

Adding to 811027200 its reverse (2720118), we get a palindrome (813747318).

The spelling of 811027200 in words is "eight hundred eleven million, twenty-seven thousand, two hundred".