8227568400 has 240 divisors, whose sum is σ = 27633439680. Its totient is φ = 2090188800.

The previous prime is 8227568341. The next prime is 8227568449. The reversal of 8227568400 is 48657228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2113656 + ... + 2117544.

It is an arithmetic number, because the mean of its divisors is an integer number (115139332).

Almost surely, 2^8227568400 is an apocalyptic number.

8227568400 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 8227568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816719840).

8227568400 is an abundant number, since it is smaller than the sum of its proper divisors (19405871280).

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

8227568400 is a wasteful number, since it uses less digits than its factorization.

8227568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 8227568400 is about 90705.9446783947. The cubic root of 8227568400 is about 2018.7870049801.

The spelling of 8227568400 in words is "eight billion, two hundred twenty-seven million, five hundred sixty-eight thousand, four hundred".