823882752 has 528 divisors, whose sum is σ = 3147336192. Its totient is φ = 209018880.

The previous prime is 823882751. The next prime is 823882757. The reversal of 823882752 is 257288328.

It is a tau number, because it is divible by the number of its divisors (528).

Its product of digits (430080) is a multiple of the sum of its prime factors (96).

It is a junction number, because it is equal to n+sod(n) for n = 823882698 and 823882707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823882751) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19160043 + ... + 19160085.

It is an arithmetic number, because the mean of its divisors is an integer number (5960864).

Almost surely, 2^823882752 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 823882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573668096).

823882752 is an abundant number, since it is smaller than the sum of its proper divisors (2323453440).

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

823882752 is a wasteful number, since it uses less digits than its factorization.

823882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 823882752 is about 28703.3578523489. The cubic root of 823882752 is about 937.4651609453.

The spelling of 823882752 in words is "eight hundred twenty-three million, eight hundred eighty-two thousand, seven hundred fifty-two".