8024785560 has 512 divisors, whose sum is σ = 31203532800. Its totient is φ = 1814883840.

The previous prime is 8024785523. The next prime is 8024785567. The reversal of 8024785560 is 655874208.

8024785560 is a `hidden beast` number, since 8 + 0 + 2 + 4 + 7 + 85 + 560 = 666.

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 (8024785567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11748979 + ... + 11749661.

It is an arithmetic number, because the mean of its divisors is an integer number (60944400).

Almost surely, 2^8024785560 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 8024785560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15601766400).

8024785560 is an abundant number, since it is smaller than the sum of its proper divisors (23178747240).

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

8024785560 is a wasteful number, since it uses less digits than its factorization.

8024785560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8024785560 is about 89581.1674404838. The cubic root of 8024785560 is about 2002.0633339279.

The spelling of 8024785560 in words is "eight billion, twenty-four million, seven hundred eighty-five thousand, five hundred sixty".