827782956 has 576 divisors, whose sum is σ = 3148185600. Its totient is φ = 181958400.

The previous prime is 827782939. The next prime is 827782961. The reversal of 827782956 is 659287728.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26702661 + ... + 26702691.

It is an arithmetic number, because the mean of its divisors is an integer number (5465600).

Almost surely, 2^827782956 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 827782956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574092800).

827782956 is an abundant number, since it is smaller than the sum of its proper divisors (2320402644).

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

827782956 is a wasteful number, since it uses less digits than its factorization.

827782956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 827782956 is about 28771.2174924872. The cubic root of 827782956 is about 938.9421311906.

The spelling of 827782956 in words is "eight hundred twenty-seven million, seven hundred eighty-two thousand, nine hundred fifty-six".