8001800352 has 768 divisors, whose sum is σ = 30707712000. Its totient is φ = 2011806720.

The previous prime is 8001800311. The next prime is 8001800369. The reversal of 8001800352 is 2530081008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119429823 + ... + 119429889.

It is an arithmetic number, because the mean of its divisors is an integer number (39984000).

Almost surely, 2^8001800352 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 8001800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353856000).

8001800352 is an abundant number, since it is smaller than the sum of its proper divisors (22705911648).

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

8001800352 is a wasteful number, since it uses less digits than its factorization.

8001800352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8001800352 is about 89452.7828074678. The cubic root of 8001800352 is about 2000.1500180803.

The spelling of 8001800352 in words is "eight billion, one million, eight hundred thousand, three hundred fifty-two".