816788448 has 360 divisors, whose sum is σ = 2867772600. Its totient is φ = 227308032.

The previous prime is 816788437. The next prime is 816788471. The reversal of 816788448 is 844887618.

816788448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 816788394 and 816788403.

It is a congruent number.

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, 7493418 + ... + 7493526.

It is an arithmetic number, because the mean of its divisors is an integer number (7966035).

Almost surely, 2^816788448 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 816788448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433886300).

816788448 is an abundant number, since it is smaller than the sum of its proper divisors (2050984152).

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

816788448 is a wasteful number, since it uses less digits than its factorization.

816788448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 816788448 is about 28579.5109825203. The cubic root of 816788448 is about 934.7666200482.

The spelling of 816788448 in words is "eight hundred sixteen million, seven hundred eighty-eight thousand, four hundred forty-eight".