8200310400 has 480 divisors, whose sum is σ = 32058221580. Its totient is φ = 2057011200.

The previous prime is 8200310351. The next prime is 8200310423. The reversal of 8200310400 is 40130028.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1332542016 + 6867768384 = 36504^2 + 82872^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4405470 + ... + 4407330.

Almost surely, 2^8200310400 is an apocalyptic number.

8200310400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8200310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029110790).

8200310400 is an abundant number, since it is smaller than the sum of its proper divisors (23857911180).

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

8200310400 is a wasteful number, since it uses less digits than its factorization.

8200310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8200310400 is about 90555.5652624398. The cubic root of 8200310400 is about 2016.5551192390. Note that the first 3 decimals are identical.

Adding to 8200310400 its reverse (40130028), we get a palindrome (8240440428).

The spelling of 8200310400 in words is "eight billion, two hundred million, three hundred ten thousand, four hundred".