8075833488 has 100 divisors (see below), whose sum is σ = 23694271788. Its totient is φ = 2655037440.

The previous prime is 8075833477. The next prime is 8075833523. The reversal of 8075833488 is 8843385708.

8075833488 is a `hidden beast` number, since 80 + 7 + 5 + 83 + 3 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5225554944 + 2850278544 = 72288^2 + 53388^2 .

It is a super-2 number, since 2×8075833488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51928 + ... + 137288.

Almost surely, 2^8075833488 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 8075833488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847135894).

8075833488 is an abundant number, since it is smaller than the sum of its proper divisors (15618438300).

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

8075833488 is a wasteful number, since it uses less digits than its factorization.

8075833488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85454 (or 85439 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 8075833488 is about 89865.6413096796. The cubic root of 8075833488 is about 2006.2995940575.

The spelling of 8075833488 in words is "eight billion, seventy-five million, eight hundred thirty-three thousand, four hundred eighty-eight".