8032020768 has 54 divisors (see below), whose sum is σ = 22845385017. Its totient is φ = 2676833280.

The previous prime is 8032020761. The next prime is 8032020823. The reversal of 8032020768 is 8670202308.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6735156624 + 1296864144 = 82068^2 + 36012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63372.

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 (8032020761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1518288 + ... + 1523568.

Almost surely, 2^8032020768 is an apocalyptic number.

It is an amenable number.

8032020768 is an abundant number, since it is smaller than the sum of its proper divisors (14813364249).

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

8032020768 is an frugal number, since it uses more digits than its factorization.

8032020768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8032020768 is about 89621.5418747078. The cubic root of 8032020768 is about 2002.6648450567.

The spelling of 8032020768 in words is "eight billion, thirty-two million, twenty thousand, seven hundred sixty-eight".