813846784 has 27 divisors (see below), whose sum is σ = 1625426103. Its totient is φ = 406695168.

The previous prime is 813846773. The next prime is 813846793. The reversal of 813846784 is 487648318.

It is a happy number.

The square root of 813846784 is 28528.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 455557 + ... + 457339.

Almost surely, 2^813846784 is an apocalyptic number.

813846784 is the 28528-th square number.

It is an amenable number.

813846784 is a deficient number, since it is larger than the sum of its proper divisors (811579319).

813846784 is an frugal number, since it uses more digits than its factorization.

813846784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 1785 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The cubic root of 813846784 is about 933.6430826783.

Multiplying 813846784 by its sum of digits (49), we get a square (39878492416 = 199696²).

The spelling of 813846784 in words is "eight hundred thirteen million, eight hundred forty-six thousand, seven hundred eighty-four".