8091785520 has 480 divisors, whose sum is σ = 34922139840. Its totient is φ = 1706987520.

The previous prime is 8091785491. The next prime is 8091785539. The reversal of 8091785520 is 255871908.

It is a happy number.

8091785520 is a `hidden beast` number, since 8 + 0 + 91 + 7 + 8 + 552 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1372980 + ... + 1378860.

It is an arithmetic number, because the mean of its divisors is an integer number (72754458).

Almost surely, 2^8091785520 is an apocalyptic number.

8091785520 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 8091785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461069920).

8091785520 is an abundant number, since it is smaller than the sum of its proper divisors (26830354320).

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

8091785520 is a wasteful number, since it uses less digits than its factorization.

8091785520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 8091785520 is about 89954.3524238822. The cubic root of 8091785520 is about 2007.6197263516.

The spelling of 8091785520 in words is "eight billion, ninety-one million, seven hundred eighty-five thousand, five hundred twenty".