8222126080 has 208 divisors, whose sum is σ = 22854069504. Its totient is φ = 2781020160.

The previous prime is 8222126057. The next prime is 8222126117. The reversal of 8222126080 is 806212228.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11898535 + ... + 11899225.

Almost surely, 2^8222126080 is an apocalyptic number.

8222126080 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 8222126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427034752).

8222126080 is an abundant number, since it is smaller than the sum of its proper divisors (14631943424).

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

8222126080 is an equidigital number, since it uses as much as digits as its factorization.

8222126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8222126080 is about 90675.9399179297. The cubic root of 8222126080 is about 2018.3417819704.

The spelling of 8222126080 in words is "eight billion, two hundred twenty-two million, one hundred twenty-six thousand, eighty".