8321088400 has 45 divisors (see below), whose sum is σ = 19995798963. Its totient is φ = 3327705600.

The previous prime is 8321088389. The next prime is 8321088401. The reversal of 8321088400 is 48801238.

The square root of 8321088400 is 91220.

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 775733904 + 7545354496 = 27852^2 + 86864^2 .

It is a super-2 number, since 2×8321088400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8321088401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1822120 + ... + 1826680.

Almost surely, 2^8321088400 is an apocalyptic number.

8321088400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8321088400 is the 91220-th square number.

It is an amenable number.

8321088400 is an abundant number, since it is smaller than the sum of its proper divisors (11674710563).

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

8321088400 is an frugal number, since it uses more digits than its factorization.

8321088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9140 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The cubic root of 8321088400 is about 2026.4071629780.

Adding to 8321088400 its reverse (48801238), we get a palindrome (8369889638).

The spelling of 8321088400 in words is "eight billion, three hundred twenty-one million, eighty-eight thousand, four hundred".