8480044800 has 648 divisors, whose sum is σ = 32679095904. Its totient is φ = 2092400640.

The previous prime is 8480044799. The next prime is 8480044813. The reversal of 8480044800 is 84400848.

It is a super-2 number, since 2×8480044800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49017514 + ... + 49017686.

Almost surely, 2^8480044800 is an apocalyptic number.

8480044800 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 8480044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339547952).

8480044800 is an abundant number, since it is smaller than the sum of its proper divisors (24199051104).

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

8480044800 is a wasteful number, since it uses less digits than its factorization.

8480044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8480044800 is about 92087.1587139054. The cubic root of 8480044800 is about 2039.2292359273.

It can be divided in two parts, 84800 and 44800, that added together give a square (129600 = 360²).

The spelling of 8480044800 in words is "eight billion, four hundred eighty million, forty-four thousand, eight hundred".