827882496 has 264 divisors, whose sum is σ = 2807566944. Its totient is φ = 230031360.

The previous prime is 827882479. The next prime is 827882501. The reversal of 827882496 is 694288728.

827882496 is a `hidden beast` number, since 8 + 2 + 78 + 82 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644836 + ... + 2645148.

Almost surely, 2^827882496 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 827882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403783472).

827882496 is an abundant number, since it is smaller than the sum of its proper divisors (1979684448).

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

827882496 is a wasteful number, since it uses less digits than its factorization.

827882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 827882496 is about 28772.9472942902. The cubic root of 827882496 is about 938.9797652722.

The spelling of 827882496 in words is "eight hundred twenty-seven million, eight hundred eighty-two thousand, four hundred ninety-six".