8274224800 has 72 divisors (see below), whose sum is σ = 20275069500. Its totient is φ = 3297300480.

The previous prime is 8274224779. The next prime is 8274224843. The reversal of 8274224800 is 84224728.

It can be written as a sum of positive squares in 6 ways, for example, as 9960336 + 8264264464 = 3156^2 + 90908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8274224800.

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 11 ways as a sum of consecutive naturals, for example, 195976 + ... + 234424.

Almost surely, 2^8274224800 is an apocalyptic number.

8274224800 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 8274224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137534750).

8274224800 is an abundant number, since it is smaller than the sum of its proper divisors (12000844700).

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

8274224800 is a wasteful number, since it uses less digits than its factorization.

8274224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38738 (or 38725 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 8274224800 is about 90962.7660089556. The cubic root of 8274224800 is about 2022.5958197343.

The spelling of 8274224800 in words is "eight billion, two hundred seventy-four million, two hundred twenty-four thousand, eight hundred".