7221600400 has 135 divisors (see below), whose sum is σ = 20215835289. Its totient is φ = 2471898240.

The previous prime is 7221600371. The next prime is 7221600401. The reversal of 7221600400 is 40061227.

The square root of 7221600400 is 84980.

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

It can be written as a sum of positive squares in only one way, i.e., 2599776144 + 4621824256 = 50988^2 + 67984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7221600401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11896897 + ... + 11897503.

Almost surely, 2^7221600400 is an apocalyptic number.

7221600400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7221600400 is the 84980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7221600400

7221600400 is an abundant number, since it is smaller than the sum of its proper divisors (12994234889).

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

7221600400 is an equidigital number, since it uses as much as digits as its factorization.

7221600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The cubic root of 7221600400 is about 1932.9078559011.

Adding to 7221600400 its reverse (40061227), we get a palindrome (7261661627).

The spelling of 7221600400 in words is "seven billion, two hundred twenty-one million, six hundred thousand, four hundred".