8227564800 has 864 divisors, whose sum is σ = 35512227072. Its totient is φ = 1627914240.

The previous prime is 8227564789. The next prime is 8227564801. The reversal of 8227564800 is 84657228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8227564801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29702262 + ... + 29702538.

Almost surely, 2^8227564800 is an apocalyptic number.

8227564800 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 8227564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756113536).

8227564800 is an abundant number, since it is smaller than the sum of its proper divisors (27284662272).

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

8227564800 is a wasteful number, since it uses less digits than its factorization.

8227564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

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

The square root of 8227564800 is about 90705.9248340482. The cubic root of 8227564800 is about 2018.7867105377.

The spelling of 8227564800 in words is "eight billion, two hundred twenty-seven million, five hundred sixty-four thousand, eight hundred".