8227082800 has 30 divisors (see below), whose sum is σ = 19765567388. Its totient is φ = 3290832960.

The previous prime is 8227082797. The next prime is 8227082881. The reversal of 8227082800 is 82807228.

It is a self number, because there is not a number n which added to its sum of digits gives 8227082800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10283454 + ... + 10284253.

Almost surely, 2^8227082800 is an apocalyptic number.

8227082800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8227082800 is an abundant number, since it is smaller than the sum of its proper divisors (11538484588).

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

8227082800 is a wasteful number, since it uses less digits than its factorization.

8227082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567725 (or 20567714 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 8227082800 is about 90703.2678573380. The cubic root of 8227082800 is about 2018.7472872000.

The spelling of 8227082800 in words is "eight billion, two hundred twenty-seven million, eighty-two thousand, eight hundred".