8904220800 has 192 divisors, whose sum is σ = 30872503200. Its totient is φ = 2249441280.

The previous prime is 8904220777. The next prime is 8904220837. The reversal of 8904220800 is 80224098.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×8904220800³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157992 + ... + 206808.

Almost surely, 2^8904220800 is an apocalyptic number.

8904220800 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 8904220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436251600).

8904220800 is an abundant number, since it is smaller than the sum of its proper divisors (21968282400).

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

8904220800 is a wasteful number, since it uses less digits than its factorization.

8904220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48863 (or 48846 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8904220800 is about 94362.1788642039. The cubic root of 8904220800 is about 2072.6786485138.

Adding to 8904220800 its reverse (80224098), we get a palindrome (8984444898).

The spelling of 8904220800 in words is "eight billion, nine hundred four million, two hundred twenty thousand, eight hundred".