825282000 has 640 divisors, whose sum is σ = 3342643200. Its totient is φ = 193536000.

The previous prime is 825281999. The next prime is 825282001. The reversal of 825282000 is 282528.

It is an interprime number because it is at equal distance from previous prime (825281999) and next prime (825282001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825282001) 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 127 ways as a sum of consecutive naturals, for example, 26621985 + ... + 26622015.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2^825282000 is an apocalyptic number.

825282000 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 825282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671321600).

825282000 is an abundant number, since it is smaller than the sum of its proper divisors (2517361200).

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

825282000 is a wasteful number, since it uses less digits than its factorization.

825282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 825282000 is about 28727.7218031643. The cubic root of 825282000 is about 937.9955779831.

The spelling of 825282000 in words is "eight hundred twenty-five million, two hundred eighty-two thousand".