8042784 has 48 divisors (see below), whose sum is σ = 21268800. Its totient is φ = 2661120.

The previous prime is 8042779. The next prime is 8042807. The reversal of 8042784 is 4872408.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 18894 + ... + 19314.

It is an arithmetic number, because the mean of its divisors is an integer number (443100).

Almost surely, 2^8042784 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 8042784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634400).

8042784 is an abundant number, since it is smaller than the sum of its proper divisors (13226016).

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

8042784 is a wasteful number, since it uses less digits than its factorization.

8042784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 8042784 is about 2835.9802538100. The cubic root of 8042784 is about 200.3558996349.

The spelling of 8042784 in words is "eight million, forty-two thousand, seven hundred eighty-four".