8299210752 has 360 divisors, whose sum is σ = 28864565730. Its totient is φ = 2368880640.

The previous prime is 8299210729. The next prime is 8299210757. The reversal of 8299210752 is 2570129928.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6832014336 + 1467196416 = 82656^2 + 38304^2 .

It is a super-2 number, since 2×8299210752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8299210698 and 8299210707.

It is not an unprimeable number, because it can be changed into a prime (8299210757) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128002 + ... + 8129022.

Almost surely, 2^8299210752 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 8299210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432282865).

8299210752 is an abundant number, since it is smaller than the sum of its proper divisors (20565354978).

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

8299210752 is a wasteful number, since it uses less digits than its factorization.

8299210752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8299210752 is about 91100.0041273325. The cubic root of 8299210752 is about 2024.6296738437.

The spelling of 8299210752 in words is "eight billion, two hundred ninety-nine million, two hundred ten thousand, seven hundred fifty-two".