825002280 has 128 divisors (see below), whose sum is σ = 2808691200. Its totient is φ = 215306496.

The previous prime is 825002279. The next prime is 825002281. The reversal of 825002280 is 82200528.

825002280 is a `hidden beast` number, since 82 + 500 + 2 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (825002279) and next prime (825002281).

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

It is not an unprimeable number, because it can be changed into a prime (825002281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42634 + ... + 58886.

It is an arithmetic number, because the mean of its divisors is an integer number (21942900).

Almost surely, 2^825002280 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 825002280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404345600).

825002280 is an abundant number, since it is smaller than the sum of its proper divisors (1983688920).

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

825002280 is a wasteful number, since it uses less digits than its factorization.

825002280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320 (or 16310 counting only the distinct ones).

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

The square root of 825002280 is about 28722.8529223683. The cubic root of 825002280 is about 937.8895916771.

The spelling of 825002280 in words is "eight hundred twenty-five million, two thousand, two hundred eighty".