8006784006 has 32 divisors (see below), whose sum is σ = 17403613920. Its totient is φ = 2441021184.

The previous prime is 8006783987. The next prime is 8006784007. The reversal of 8006784006 is 6004876008.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006784007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462375 + ... + 479378.

It is an arithmetic number, because the mean of its divisors is an integer number (543862935).

Almost surely, 2^8006784006 is an apocalyptic number.

8006784006 is an abundant number, since it is smaller than the sum of its proper divisors (9396829914).

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

8006784006 is a wasteful number, since it uses less digits than its factorization.

8006784006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941880.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 8006784006 is about 89480.6348099967. The cubic root of 8006784006 is about 2000.5651741074.

The spelling of 8006784006 in words is "eight billion, six million, seven hundred eighty-four thousand, six".