8680883200 has 264 divisors, whose sum is σ = 24306569280. Its totient is φ = 3044966400.

The previous prime is 8680883173. The next prime is 8680883201. The reversal of 8680883200 is 23880868.

It is not an unprimeable number, because it can be changed into a prime (8680883201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8165869 + ... + 8166931.

Almost surely, 2^8680883200 is an apocalyptic number.

8680883200 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 8680883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153284640).

8680883200 is an abundant number, since it is smaller than the sum of its proper divisors (15625686080).

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

8680883200 is a wasteful number, since it uses less digits than its factorization.

8680883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 8680883200 is about 93171.2573705003. The cubic root of 8680883200 is about 2055.2025855853.

The spelling of 8680883200 in words is "eight billion, six hundred eighty million, eight hundred eighty-three thousand, two hundred".