8225280000 has 1040 divisors, whose sum is σ = 36847704960. Its totient is φ = 1769472000.

The previous prime is 8225279999. The next prime is 8225280029. The reversal of 8225280000 is 825228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483839992 + ... + 483840008.

Almost surely, 2^8225280000 is an apocalyptic number.

8225280000 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 8225280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423852480).

8225280000 is an abundant number, since it is smaller than the sum of its proper divisors (28622424960).

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

8225280000 is an equidigital number, since it uses as much as digits as its factorization.

8225280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8225280000 is about 90693.3294129177. The cubic root of 8225280000 is about 2018.5998204505.

The spelling of 8225280000 in words is "eight billion, two hundred twenty-five million, two hundred eighty thousand".