816818080 has 96 divisors (see below), whose sum is σ = 2107824768. Its totient is φ = 297292800.

The previous prime is 816818077. The next prime is 816818083. The reversal of 816818080 is 80818618.

816818080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (816818077) and next prime (816818083).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (816818083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144915 + ... + 150445.

It is an arithmetic number, because the mean of its divisors is an integer number (21956508).

Almost surely, 2^816818080 is an apocalyptic number.

816818080 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 816818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053912384).

816818080 is an abundant number, since it is smaller than the sum of its proper divisors (1291006688).

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

816818080 is a wasteful number, since it uses less digits than its factorization.

816818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 40.

The square root of 816818080 is about 28580.0293911675. The cubic root of 816818080 is about 934.7779239420. Note that the first 3 decimals are identical.

The spelling of 816818080 in words is "eight hundred sixteen million, eight hundred eighteen thousand, eighty".