825767872 has 56 divisors (see below), whose sum is σ = 1686592512. Its totient is φ = 400915200.

The previous prime is 825767869. The next prime is 825767881. The reversal of 825767872 is 278767528.

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 7 ways as a sum of consecutive naturals, for example, 524847 + ... + 526417.

Almost surely, 2^825767872 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 825767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843296256).

825767872 is an abundant number, since it is smaller than the sum of its proper divisors (860824640).

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

825767872 is a wasteful number, since it uses less digits than its factorization.

825767872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1807 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 52.

The square root of 825767872 is about 28736.1770595881. The cubic root of 825767872 is about 938.1796186621.

The spelling of 825767872 in words is "eight hundred twenty-five million, seven hundred sixty-seven thousand, eight hundred seventy-two".