816516792 has 288 divisors, whose sum is σ = 2919243600. Its totient is φ = 203793408.

The previous prime is 816516791. The next prime is 816516793. The reversal of 816516792 is 297615618.

It is an interprime number because it is at equal distance from previous prime (816516791) and next prime (816516793).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816516791) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870948 + ... + 871884.

Almost surely, 2^816516792 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 816516792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459621800).

816516792 is an abundant number, since it is smaller than the sum of its proper divisors (2102726808).

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

816516792 is a wasteful number, since it uses less digits than its factorization.

816516792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 981 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 816516792 is about 28574.7579517308. The cubic root of 816516792 is about 934.6629770879.

The spelling of 816516792 in words is "eight hundred sixteen million, five hundred sixteen thousand, seven hundred ninety-two".