816998784 has 256 divisors, whose sum is σ = 2767219200. Its totient is φ = 207912960.

The previous prime is 816998779. The next prime is 816998807. The reversal of 816998784 is 487899618.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867754 + ... + 868694.

It is an arithmetic number, because the mean of its divisors is an integer number (10809450).

Almost surely, 2^816998784 is an apocalyptic number.

816998784 is a gapful number since it is divisible by the number (84) 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 816998784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383609600).

816998784 is an abundant number, since it is smaller than the sum of its proper divisors (1950220416).

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

816998784 is a wasteful number, since it uses less digits than its factorization.

816998784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The square root of 816998784 is about 28583.1905846776. The cubic root of 816998784 is about 934.8468522461.

It can be divided in two parts, 8169 and 98784, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 816998784 in words is "eight hundred sixteen million, nine hundred ninety-eight thousand, seven hundred eighty-four".