8045452800 has 720 divisors, whose sum is σ = 35936664192. Its totient is φ = 1669939200.

The previous prime is 8045452769. The next prime is 8045452817. The reversal of 8045452800 is 82545408.

8045452800 is a `hidden beast` number, since 80 + 4 + 54 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 8869947 + ... + 8870853.

Almost surely, 2^8045452800 is an apocalyptic number.

8045452800 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 8045452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968332096).

8045452800 is an abundant number, since it is smaller than the sum of its proper divisors (27891211392).

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

8045452800 is a wasteful number, since it uses less digits than its factorization.

8045452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 8045452800 is about 89696.4480902115. The cubic root of 8045452800 is about 2003.7805824287.

The spelling of 8045452800 in words is "eight billion, forty-five million, four hundred fifty-two thousand, eight hundred".