8008041600 has 576 divisors, whose sum is σ = 31300574760. Its totient is φ = 1937571840.

The previous prime is 8008041593. The next prime is 8008041647. The reversal of 8008041600 is 61408008.

It can be written as a sum of positive squares in 12 ways, for example, as 1020419136 + 6987622464 = 31944^2 + 83592^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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, 27331054 + ... + 27331346.

Almost surely, 2^8008041600 is an apocalyptic number.

8008041600 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 8008041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650287380).

8008041600 is an abundant number, since it is smaller than the sum of its proper divisors (23292533160).

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

8008041600 is a wasteful number, since it uses less digits than its factorization.

8008041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8008041600 is about 89487.6617193678. The cubic root of 8008041600 is about 2000.6699089193.

Adding to 8008041600 its reverse (61408008), we get a palindrome (8069449608).

The spelling of 8008041600 in words is "eight billion, eight million, forty-one thousand, six hundred".