8293217280 has 352 divisors, whose sum is σ = 28254495360. Its totient is φ = 2070282240.

The previous prime is 8293217263. The next prime is 8293217291. The reversal of 8293217280 is 827123928.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 45818790 + ... + 45818970.

Almost surely, 2^8293217280 is an apocalyptic number.

8293217280 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 8293217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127247680).

8293217280 is an abundant number, since it is smaller than the sum of its proper divisors (19961278080).

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

8293217280 is a wasteful number, since it uses less digits than its factorization.

8293217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8293217280 is about 91067.1031712330. The cubic root of 8293217280 is about 2024.1421783504.

The spelling of 8293217280 in words is "eight billion, two hundred ninety-three million, two hundred seventeen thousand, two hundred eighty".