816133080 has 128 divisors (see below), whose sum is σ = 2894745600. Its totient is φ = 180106752.

The previous prime is 816133067. The next prime is 816133099. The reversal of 816133080 is 80331618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7609 + ... + 41111.

It is an arithmetic number, because the mean of its divisors is an integer number (22615200).

Almost surely, 2^816133080 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 816133080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447372800).

816133080 is an abundant number, since it is smaller than the sum of its proper divisors (2078612520).

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

816133080 is a wasteful number, since it uses less digits than its factorization.

816133080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33553 (or 33549 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 816133080 is about 28568.0429851259. The cubic root of 816133080 is about 934.5165430328.

Adding to 816133080 its reverse (80331618), we get a palindrome (896464698).

The spelling of 816133080 in words is "eight hundred sixteen million, one hundred thirty-three thousand, eighty".