827792 has 40 divisors (see below), whose sum is σ = 1934400. Its totient is φ = 335232.

The previous prime is 827791. The next prime is 827803. The reversal of 827792 is 297728.

It is not an unprimeable number, because it can be changed into a prime (827791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1934 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2⁸²⁷⁷⁹² 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 827792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967200).

827792 is an abundant number, since it is smaller than the sum of its proper divisors (1106608).

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

827792 is a wasteful number, since it uses less digits than its factorization.

827792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 827792 is about 909.8307534921. The cubic root of 827792 is about 93.8945550671.

The spelling of 827792 in words is "eight hundred twenty-seven thousand, seven hundred ninety-two".