827457792 has 144 divisors (see below), whose sum is σ = 2536195200. Its totient is φ = 234602496.

The previous prime is 827457791. The next prime is 827457823. The reversal of 827457792 is 297754728.

It is not an unprimeable number, because it can be changed into a prime (827457791) 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 15 ways as a sum of consecutive naturals, for example, 800508 + ... + 801540.

Almost surely, 2^827457792 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 827457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268097600).

827457792 is an abundant number, since it is smaller than the sum of its proper divisors (1708737408).

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

827457792 is a wasteful number, since it uses less digits than its factorization.

827457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 827457792 is about 28765.5660816887. The cubic root of 827457792 is about 938.8191721620.

It can be divided in two parts, 8274 and 57792, that added together give a palindrome (66066).

The spelling of 827457792 in words is "eight hundred twenty-seven million, four hundred fifty-seven thousand, seven hundred ninety-two".