8785152000 has 768 divisors, whose sum is σ = 34342963200. Its totient is φ = 2211840000.

The previous prime is 8785151987. The next prime is 8785152007. The reversal of 8785152000 is 2515878.

8785152000 is a `hidden beast` number, since 87 + 8 + 51 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8785152007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214271980 + ... + 214272020.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^8785152000 is an apocalyptic number.

8785152000 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 8785152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171481600).

8785152000 is an abundant number, since it is smaller than the sum of its proper divisors (25557811200).

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

8785152000 is a wasteful number, since it uses less digits than its factorization.

8785152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 8785152000 is about 93729.1416796292. The cubic root of 8785152000 is about 2063.3984185123.

Adding to 8785152000 its reverse (2515878), we get a palindrome (8787667878).

The spelling of 8785152000 in words is "eight billion, seven hundred eighty-five million, one hundred fifty-two thousand".