810825200 has 240 divisors, whose sum is σ = 2192002560. Its totient is φ = 286863360.

The previous prime is 810825199. The next prime is 810825203. The reversal of 810825200 is 2528018.

It is a self number, because there is not a number n which added to its sum of digits gives 810825200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810825203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13742771 + ... + 13742829.

It is an arithmetic number, because the mean of its divisors is an integer number (9133344).

Almost surely, 2^810825200 is an apocalyptic number.

810825200 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 810825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096001280).

810825200 is an abundant number, since it is smaller than the sum of its proper divisors (1381177360).

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

810825200 is a wasteful number, since it uses less digits than its factorization.

810825200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 810825200 is about 28474.9925373125. The cubic root of 810825200 is about 932.4861984555.

The spelling of 810825200 in words is "eight hundred ten million, eight hundred twenty-five thousand, two hundred".