816774784 has 64 divisors (see below), whose sum is σ = 1867383360. Its totient is φ = 348585984.

The previous prime is 816774769. The next prime is 816774797. The reversal of 816774784 is 487477618.

816774784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228499 + ... + 232045.

It is an arithmetic number, because the mean of its divisors is an integer number (29177865).

Almost surely, 2^816774784 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 816774784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933691680).

816774784 is an abundant number, since it is smaller than the sum of its proper divisors (1050608576).

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

816774784 is a wasteful number, since it uses less digits than its factorization.

816774784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3813 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 52.

The square root of 816774784 is about 28579.2719291447. The cubic root of 816774784 is about 934.7614074695.

The spelling of 816774784 in words is "eight hundred sixteen million, seven hundred seventy-four thousand, seven hundred eighty-four".