8705232000 has 384 divisors, whose sum is σ = 32435020800. Its totient is φ = 2320358400.

The previous prime is 8705231989. The next prime is 8705232001. The reversal of 8705232000 is 2325078.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8705232001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886881 + ... + 3889119.

It is an arithmetic number, because the mean of its divisors is an integer number (84466200).

Almost surely, 2^8705232000 is an apocalyptic number.

8705232000 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 8705232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217510400).

8705232000 is an abundant number, since it is smaller than the sum of its proper divisors (23729788800).

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

8705232000 is an equidigital number, since it uses as much as digits as its factorization.

8705232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8705232000 is about 93301.8327794261. The cubic root of 8705232000 is about 2057.1223212236.

Adding to 8705232000 its reverse (2325078), we get a palindrome (8707557078).

The spelling of 8705232000 in words is "eight billion, seven hundred five million, two hundred thirty-two thousand".