8450052800 has 168 divisors, whose sum is σ = 24796674816. Its totient is φ = 2771112960.

The previous prime is 8450052791. The next prime is 8450052803. The reversal of 8450052800 is 82500548.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8450052803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241199 + ... + 274001.

Almost surely, 2^8450052800 is an apocalyptic number.

8450052800 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 8450052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398337408).

8450052800 is an abundant number, since it is smaller than the sum of its proper divisors (16346622016).

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

8450052800 is a wasteful number, since it uses less digits than its factorization.

8450052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32855 (or 32840 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 8450052800 is about 91924.1687479414. The cubic root of 8450052800 is about 2036.8222986060.

The spelling of 8450052800 in words is "eight billion, four hundred fifty million, fifty-two thousand, eight hundred".