8040804800 has 168 divisors, whose sum is σ = 23342315520. Its totient is φ = 2667801600.

The previous prime is 8040804797. The next prime is 8040804809. The reversal of 8040804800 is 84080408.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8040804809) 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, 335621 + ... + 358779.

Almost surely, 2^8040804800 is an apocalyptic number.

8040804800 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 8040804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11671157760).

8040804800 is an abundant number, since it is smaller than the sum of its proper divisors (15301510720).

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

8040804800 is a wasteful number, since it uses less digits than its factorization.

8040804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23219 (or 23204 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8040804800 is about 89670.5347368911. The cubic root of 8040804800 is about 2003.3946349669.

The spelling of 8040804800 in words is "eight billion, forty million, eight hundred four thousand, eight hundred".