825880872 has 64 divisors (see below), whose sum is σ = 2159038080. Its totient is φ = 262766592.

The previous prime is 825880829. The next prime is 825880897. The reversal of 825880872 is 278088528.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317208 + ... + 319800.

It is an arithmetic number, because the mean of its divisors is an integer number (33734970).

Almost surely, 2^825880872 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 825880872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079519040).

825880872 is an abundant number, since it is smaller than the sum of its proper divisors (1333157208).

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

825880872 is a wasteful number, since it uses less digits than its factorization.

825880872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 825880872 is about 28738.1431550474. The cubic root of 825880872 is about 938.2224109387. Note that the first 3 decimals are identical.

The spelling of 825880872 in words is "eight hundred twenty-five million, eight hundred eighty thousand, eight hundred seventy-two".