8045533800 has 288 divisors, whose sum is σ = 28319616000. Its totient is φ = 2044224000.

The previous prime is 8045533753. The next prime is 8045533813. The reversal of 8045533800 is 83355408.

8045533800 is a `hidden beast` number, since 8 + 0 + 45 + 533 + 80 + 0 = 666.

It is a super-2 number, since 2×8045533800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4122825 + ... + 4124775.

It is an arithmetic number, because the mean of its divisors is an integer number (98332000).

Almost surely, 2^8045533800 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 8045533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159808000).

8045533800 is an abundant number, since it is smaller than the sum of its proper divisors (20274082200).

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

8045533800 is a wasteful number, since it uses less digits than its factorization.

8045533800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8045533800 is about 89696.8996119710. The cubic root of 8045533800 is about 2003.7873069593.

The spelling of 8045533800 in words is "eight billion, forty-five million, five hundred thirty-three thousand, eight hundred".