8205280000 has 90 divisors (see below), whose sum is σ = 20466982844. Its totient is φ = 3282048000.

The previous prime is 8205279997. The next prime is 8205280001. The reversal of 8205280000 is 825028.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8205280001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 134359 + ... + 185641.

Almost surely, 2^8205280000 is an apocalyptic number.

8205280000 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 8205280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233491422).

8205280000 is an abundant number, since it is smaller than the sum of its proper divisors (12261702844).

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

8205280000 is an frugal number, since it uses more digits than its factorization.

8205280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51319 (or 51290 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8205280000 is about 90583.0006126977. Note that the first 3 decimals coincide. The cubic root of 8205280000 is about 2016.9623984796.

The spelling of 8205280000 in words is "eight billion, two hundred five million, two hundred eighty thousand".