8093000832400 has 405 divisors, whose sum is σ = 21808444738563. Its totient is φ = 2883964723200.

The previous prime is 8093000832359. The next prime is 8093000832401. The reversal of 8093000832400 is 42380003908.

The square root of 8093000832400 is 2844820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1301598047376 + 6791402785024 = 1140876^2 + 2606032^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8093000832400.

It is not an unprimeable number, because it can be changed into a prime (8093000832401) 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 80 ways as a sum of consecutive naturals, for example, 41932646704 + ... + 41932646896.

Almost surely, 2^{8093000832400} is an apocalyptic number.

8093000832400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8093000832400 is the 2844820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8093000832400

8093000832400 is an abundant number, since it is smaller than the sum of its proper divisors (13715443906163).

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

8093000832400 is a wasteful number, since it uses less digits than its factorization.

8093000832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 8093000832400 in words is "eight trillion, ninety-three billion, eight hundred thirty-two thousand, four hundred".