8804033440 has 192 divisors, whose sum is σ = 22926758400. Its totient is φ = 3179954176.

The previous prime is 8804033429. The next prime is 8804033471. The reversal of 8804033440 is 443304088.

It is a super-2 number, since 2×8804033440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 8804033396 and 8804033405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18852087 + ... + 18852553.

It is an arithmetic number, because the mean of its divisors is an integer number (119410200).

Almost surely, 2^8804033440 is an apocalyptic number.

8804033440 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 8804033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463379200).

8804033440 is an abundant number, since it is smaller than the sum of its proper divisors (14122724960).

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

8804033440 is a wasteful number, since it uses less digits than its factorization.

8804033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 8804033440 is about 93829.8110410545. The cubic root of 8804033440 is about 2064.8756099993.

The spelling of 8804033440 in words is "eight billion, eight hundred four million, thirty-three thousand, four hundred forty".