8090227200 has 480 divisors, whose sum is σ = 29592034560. Its totient is φ = 1932083200.

The previous prime is 8090227177. The next prime is 8090227261. The reversal of 8090227200 is 27220908.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×8090227200³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45196711 + ... + 45196889.

It is an arithmetic number, because the mean of its divisors is an integer number (61650072).

Almost surely, 2^8090227200 is an apocalyptic number.

8090227200 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 8090227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796017280).

8090227200 is an abundant number, since it is smaller than the sum of its proper divisors (21501807360).

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

8090227200 is a wasteful number, since it uses less digits than its factorization.

8090227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8090227200 is about 89945.6902803019. The cubic root of 8090227200 is about 2007.4908419492.

The spelling of 8090227200 in words is "eight billion, ninety million, two hundred twenty-seven thousand, two hundred".