825500800 has 96 divisors (see below), whose sum is σ = 2073165300. Its totient is φ = 324710400.

The previous prime is 825500789. The next prime is 825500831. The reversal of 825500800 is 8005528.

It can be written as a sum of positive squares in 6 ways, for example, as 345365056 + 480135744 = 18584^2 + 21912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193086 + ... + 197314.

Almost surely, 2^825500800 is an apocalyptic number.

825500800 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 825500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036582650).

825500800 is an abundant number, since it is smaller than the sum of its proper divisors (1247664500).

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

825500800 is a wasteful number, since it uses less digits than its factorization.

825500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 825500800 is about 28731.5297191082. The cubic root of 825500800 is about 938.0784649227.

The spelling of 825500800 in words is "eight hundred twenty-five million, five hundred thousand, eight hundred".