8006784 has 64 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 2573312.

The previous prime is 8006753. The next prime is 8006797. The reversal of 8006784 is 4876008.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 10777 + ... + 11495.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 2^8006784 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 8006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

8006784 is an abundant number, since it is smaller than the sum of its proper divisors (14025216).

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

8006784 is a wasteful number, since it uses less digits than its factorization.

8006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 8006784 is about 2829.6261237132. The cubic root of 8006784 is about 200.0565173608.

The spelling of 8006784 in words is "eight million, six thousand, seven hundred eighty-four".