822352752 has 120 divisors (see below), whose sum is σ = 2489160128. Its totient is φ = 251942400.

The previous prime is 822352723. The next prime is 822352753. The reversal of 822352752 is 257253228.

It is a happy number.

822352752 is a `hidden beast` number, since 82 + 2 + 3 + 527 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822352753) 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 23 ways as a sum of consecutive naturals, for example, 506502 + ... + 508122.

Almost surely, 2^822352752 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 822352752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244580064).

822352752 is an abundant number, since it is smaller than the sum of its proper divisors (1666807376).

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

822352752 is a wasteful number, since it uses less digits than its factorization.

822352752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1910 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 822352752 is about 28676.6935332510. The cubic root of 822352752 is about 936.8844915544.

The spelling of 822352752 in words is "eight hundred twenty-two million, three hundred fifty-two thousand, seven hundred fifty-two".