827919792 has 200 divisors, whose sum is σ = 2756894976. Its totient is φ = 234969984.

The previous prime is 827919779. The next prime is 827919797. The reversal of 827919792 is 297919728.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827919797) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2385763 + ... + 2386109.

Almost surely, 2^827919792 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 827919792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378447488).

827919792 is an abundant number, since it is smaller than the sum of its proper divisors (1928975184).

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

827919792 is a wasteful number, since it uses less digits than its factorization.

827919792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 827919792 is about 28773.5953957791. The cubic root of 827919792 is about 938.9938653663.

The spelling of 827919792 in words is "eight hundred twenty-seven million, nine hundred nineteen thousand, seven hundred ninety-two".