816806320 has 160 divisors (see below), whose sum is σ = 2146362624. Its totient is φ = 286540800.

The previous prime is 816806299. The next prime is 816806323. The reversal of 816806320 is 23608618.

It is not an unprimeable number, because it can be changed into a prime (816806323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3871015 + ... + 3871225.

Almost surely, 2^816806320 is an apocalyptic number.

816806320 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 816806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073181312).

816806320 is an abundant number, since it is smaller than the sum of its proper divisors (1329556304).

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

816806320 is a wasteful number, since it uses less digits than its factorization.

816806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 816806320 is about 28579.8236523601. The cubic root of 816806320 is about 934.7734378182.

The spelling of 816806320 in words is "eight hundred sixteen million, eight hundred six thousand, three hundred twenty".