816220080 has 480 divisors, whose sum is σ = 3184796160. Its totient is φ = 185794560.

The previous prime is 816220073. The next prime is 816220103. The reversal of 816220080 is 80022618.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8414592 + ... + 8414688.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^816220080 is an apocalyptic number.

816220080 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 816220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

816220080 is an abundant number, since it is smaller than the sum of its proper divisors (2368576080).

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

816220080 is a wasteful number, since it uses less digits than its factorization.

816220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 816220080 is about 28569.5656249793. The cubic root of 816220080 is about 934.5497484223.

Adding to 816220080 its reverse (80022618), we get a palindrome (896242698).

The spelling of 816220080 in words is "eight hundred sixteen million, two hundred twenty thousand, eighty".