816805296 has 100 divisors (see below), whose sum is σ = 2419214952. Its totient is φ = 265918464.

The previous prime is 816805291. The next prime is 816805309. The reversal of 816805296 is 692508618.

It is not an unprimeable number, because it can be changed into a prime (816805291) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48400 + ... + 63056.

Almost surely, 2^816805296 is an apocalyptic number.

816805296 is a gapful number since it is divisible by the number (86) 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 816805296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209607476).

816805296 is an abundant number, since it is smaller than the sum of its proper divisors (1602409656).

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

816805296 is a wasteful number, since it uses less digits than its factorization.

816805296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 816805296 is about 28579.8057376183. The cubic root of 816805296 is about 934.7730471877.

The spelling of 816805296 in words is "eight hundred sixteen million, eight hundred five thousand, two hundred ninety-six".