8001875520 has 448 divisors, whose sum is σ = 30166421760. Its totient is φ = 1989771264.

The previous prime is 8001875491. The next prime is 8001875521. The reversal of 8001875520 is 255781008.

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 (8001875521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23059987 + ... + 23060333.

Almost surely, 2^8001875520 is an apocalyptic number.

8001875520 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 8001875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083210880).

8001875520 is an abundant number, since it is smaller than the sum of its proper divisors (22164546240).

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

8001875520 is a wasteful number, since it uses less digits than its factorization.

8001875520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 8001875520 is about 89453.2029611014. The cubic root of 8001875520 is about 2000.1562811211.

The spelling of 8001875520 in words is "eight billion, one million, eight hundred seventy-five thousand, five hundred twenty".