8785540800 has 336 divisors, whose sum is σ = 32715525120. Its totient is φ = 2292433920.

The previous prime is 8785540733. The next prime is 8785540877. The reversal of 8785540800 is 80455878.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2028237 + ... + 2032563.

Almost surely, 2^8785540800 is an apocalyptic number.

8785540800 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 8785540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357762560).

8785540800 is an abundant number, since it is smaller than the sum of its proper divisors (23929984320).

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

8785540800 is a wasteful number, since it uses less digits than its factorization.

8785540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 8785540800 is about 93731.2157181374. The cubic root of 8785540800 is about 2063.4288576544.

The spelling of 8785540800 in words is "eight billion, seven hundred eighty-five million, five hundred forty thousand, eight hundred".