8805785400 has 576 divisors, whose sum is σ = 32416675200. Its totient is φ = 2218959360.

The previous prime is 8805785369. The next prime is 8805785407. The reversal of 8805785400 is 45875088.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8805785407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106093759 + ... + 106093841.

It is an arithmetic number, because the mean of its divisors is an integer number (56278950).

Almost surely, 2^8805785400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8805785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208337600).

8805785400 is an abundant number, since it is smaller than the sum of its proper divisors (23610889800).

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

8805785400 is a wasteful number, since it uses less digits than its factorization.

8805785400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

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

The square root of 8805785400 is about 93839.1464155552. The cubic root of 8805785400 is about 2065.0125676625.

The spelling of 8805785400 in words is "eight billion, eight hundred five million, seven hundred eighty-five thousand, four hundred".