8001288400 has 90 divisors (see below), whose sum is σ = 22361614710. Its totient is φ = 2743292160.

The previous prime is 8001288389. The next prime is 8001288401. The reversal of 8001288400 is 48821008.

It can be written as a sum of positive squares in 3 ways, for example, as 626601024 + 7374687376 = 25032^2 + 85876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001288401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184515 + ... + 223714.

Almost surely, 2^8001288400 is an apocalyptic number.

8001288400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001288400 is an abundant number, since it is smaller than the sum of its proper divisors (14360326310).

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

8001288400 is a wasteful number, since it uses less digits than its factorization.

8001288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408261 (or 408243 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 8001288400 is about 89449.9211849848. The cubic root of 8001288400 is about 2000.1073609034.

The spelling of 8001288400 in words is "eight billion, one million, two hundred eighty-eight thousand, four hundred".