8205200840 has 64 divisors (see below), whose sum is σ = 19277092800. Its totient is φ = 3139241728.

The previous prime is 8205200837. The next prime is 8205200903. The reversal of 8205200840 is 480025028.

It is a super-3 number, since 3×8205200840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91067 + ... + 157173.

It is an arithmetic number, because the mean of its divisors is an integer number (301204575).

Almost surely, 2^8205200840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205200840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638546400).

8205200840 is an abundant number, since it is smaller than the sum of its proper divisors (11071891960).

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

8205200840 is a wasteful number, since it uses less digits than its factorization.

8205200840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66254 (or 66250 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 8205200840 is about 90582.5636643168. The cubic root of 8205200840 is about 2016.9559122798.

Adding to 8205200840 its reverse (480025028), we get a palindrome (8685225868).

The spelling of 8205200840 in words is "eight billion, two hundred five million, two hundred thousand, eight hundred forty".