816369792 has 192 divisors, whose sum is σ = 2583741600. Its totient is φ = 227598336.

The previous prime is 816369791. The next prime is 816369809. The reversal of 816369792 is 297963618.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (816369791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808584 + ... + 809592.

Almost surely, 2^816369792 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 816369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291870800).

816369792 is an abundant number, since it is smaller than the sum of its proper divisors (1767371808).

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

816369792 is a wasteful number, since it uses less digits than its factorization.

816369792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1064 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 816369792 is about 28572.1856356842. The cubic root of 816369792 is about 934.6068836492.

The spelling of 816369792 in words is "eight hundred sixteen million, three hundred sixty-nine thousand, seven hundred ninety-two".