8280830400 has 84 divisors (see below), whose sum is σ = 27168040152. Its totient is φ = 2208220160.

The previous prime is 8280830377. The next prime is 8280830413. The reversal of 8280830400 is 40380828.

It is a super-2 number, since 2×8280830400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 857787 + ... + 867386.

Almost surely, 2^8280830400 is an apocalyptic number.

8280830400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8280830400 is an abundant number, since it is smaller than the sum of its proper divisors (18887209752).

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

8280830400 is a wasteful number, since it uses less digits than its factorization.

8280830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725198 (or 1725183 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8280830400 is about 90999.0681270968. The cubic root of 8280830400 is about 2023.1339126462.

The spelling of 8280830400 in words is "eight billion, two hundred eighty million, eight hundred thirty thousand, four hundred".