8220268400 has 60 divisors (see below), whose sum is σ = 20910929472. Its totient is φ = 3094686720.

The previous prime is 8220268387. The next prime is 8220268403. The reversal of 8220268400 is 48620228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220268403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597632 + ... + 611231.

Almost surely, 2^8220268400 is an apocalyptic number.

8220268400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8220268400 is an abundant number, since it is smaller than the sum of its proper divisors (12690661072).

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

8220268400 is a wasteful number, since it uses less digits than its factorization.

8220268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208898 (or 1208887 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8220268400 is about 90665.6958281356. The cubic root of 8220268400 is about 2018.1897646966.

Adding to 8220268400 its reverse (48620228), we get a palindrome (8268888628).

The spelling of 8220268400 in words is "eight billion, two hundred twenty million, two hundred sixty-eight thousand, four hundred".