8785945600 has 132 divisors (see below), whose sum is σ = 22483068928. Its totient is φ = 3400704000.

The previous prime is 8785945583. The next prime is 8785945601. The reversal of 8785945600 is 65495878.

It is not an unprimeable number, because it can be changed into a prime (8785945601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788065 + ... + 799135.

Almost surely, 2^8785945600 is an apocalyptic number.

8785945600 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 8785945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241534464).

8785945600 is an abundant number, since it is smaller than the sum of its proper divisors (13697123328).

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

8785945600 is a wasteful number, since it uses less digits than its factorization.

8785945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The square root of 8785945600 is about 93733.3750592605. The cubic root of 8785945600 is about 2063.4605484818.

The spelling of 8785945600 in words is "eight billion, seven hundred eighty-five million, nine hundred forty-five thousand, six hundred".