825673800 has 192 divisors, whose sum is σ = 2966417280. Its totient is φ = 186071040.

The previous prime is 825673753. The next prime is 825673817. The reversal of 825673800 is 8376528.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305254 + ... + 307946.

It is an arithmetic number, because the mean of its divisors is an integer number (15450090).

Almost surely, 2^825673800 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 825673800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483208640).

825673800 is an abundant number, since it is smaller than the sum of its proper divisors (2140743480).

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

825673800 is a wasteful number, since it uses less digits than its factorization.

825673800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 825673800 is about 28734.5401912054. The cubic root of 825673800 is about 938.1439913034.

The spelling of 825673800 in words is "eight hundred twenty-five million, six hundred seventy-three thousand, eight hundred".