8045956800 has 840 divisors, whose sum is σ = 34680245600. Its totient is φ = 1828915200.

The previous prime is 8045956747. The next prime is 8045956813. The reversal of 8045956800 is 86595408.

8045956800 is a `hidden beast` number, since 80 + 4 + 5 + 9 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44452710 + ... + 44452890.

Almost surely, 2^8045956800 is an apocalyptic number.

8045956800 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 8045956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340122800).

8045956800 is an abundant number, since it is smaller than the sum of its proper divisors (26634288800).

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

8045956800 is a wasteful number, since it uses less digits than its factorization.

8045956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8045956800 is about 89699.2575220107. The cubic root of 8045956800 is about 2003.8224232196.

The spelling of 8045956800 in words is "eight billion, forty-five million, nine hundred fifty-six thousand, eight hundred".