8297009280 has 768 divisors, whose sum is σ = 35163072000. Its totient is φ = 1842462720.

The previous prime is 8297009267. The next prime is 8297009299. The reversal of 8297009280 is 829007928.

It is a super-2 number, since 2×8297009280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34715401 + ... + 34715639.

It is an arithmetic number, because the mean of its divisors is an integer number (45785250).

Almost surely, 2^8297009280 is an apocalyptic number.

8297009280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8297009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581536000).

8297009280 is an abundant number, since it is smaller than the sum of its proper divisors (26866062720).

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

8297009280 is a wasteful number, since it uses less digits than its factorization.

8297009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8297009280 is about 91087.9206042162. The cubic root of 8297009280 is about 2024.4506383573.

The spelling of 8297009280 in words is "eight billion, two hundred ninety-seven million, nine thousand, two hundred eighty".