825801000 has 128 divisors (see below), whose sum is σ = 2613461760. Its totient is φ = 217056000.

The previous prime is 825800999. The next prime is 825801017. The reversal of 825801000 is 108528.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 211062 + ... + 214938.

It is an arithmetic number, because the mean of its divisors is an integer number (20417670).

Almost surely, 2^825801000 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 825801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306730880).

825801000 is an abundant number, since it is smaller than the sum of its proper divisors (1787660760).

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

825801000 is a wasteful number, since it uses less digits than its factorization.

825801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 825801000 is about 28736.7534700773. The cubic root of 825801000 is about 938.1921643988.

Adding to 825801000 its reverse (108528), we get a palindrome (825909528).

The spelling of 825801000 in words is "eight hundred twenty-five million, eight hundred one thousand".