814825800 has 288 divisors, whose sum is σ = 2864894760. Its totient is φ = 207360000.

The previous prime is 814825787. The next prime is 814825801. The reversal of 814825800 is 8528418.

It can be written as a sum of positive squares in 12 ways, for example, as 316911204 + 497914596 = 17802^2 + 22314^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (814825801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4501710 + ... + 4501890.

Almost surely, 2^814825800 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 814825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432447380).

814825800 is an abundant number, since it is smaller than the sum of its proper divisors (2050068960).

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

814825800 is a wasteful number, since it uses less digits than its factorization.

814825800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 814825800 is about 28545.1537042630. The cubic root of 814825800 is about 934.0173075979.

The spelling of 814825800 in words is "eight hundred fourteen million, eight hundred twenty-five thousand, eight hundred".