825776 has 40 divisors (see below), whose sum is σ = 1871904. Its totient is φ = 345600.

The previous prime is 825763. The next prime is 825779. The reversal of 825776 is 677528.

It is a zygodrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825776.

It is not an unprimeable number, because it can be changed into a prime (825779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8126 + ... + 8226.

2⁸²⁵⁷⁷⁶ 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 825776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935952).

825776 is an abundant number, since it is smaller than the sum of its proper divisors (1046128).

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

825776 is a wasteful number, since it uses less digits than its factorization.

825776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 825776 is about 908.7221797667. The cubic root of 825776 is about 93.8182696807.

The spelling of 825776 in words is "eight hundred twenty-five thousand, seven hundred seventy-six".