8042776007 has 32 divisors (see below), whose sum is σ = 9922222080. Its totient is φ = 6362426880.

The previous prime is 8042775977. The next prime is 8042776031. The reversal of 8042776007 is 7006772408.

It is not a de Polignac number, because 8042776007 - 2¹⁶ = 8042710471 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042776037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2662544 + ... + 2665562.

It is an arithmetic number, because the mean of its divisors is an integer number (310069440).

Almost surely, 2^8042776007 is an apocalyptic number.

8042776007 is a deficient number, since it is larger than the sum of its proper divisors (1879446073).

8042776007 is a wasteful number, since it uses less digits than its factorization.

8042776007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471.

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 8042776007 is about 89681.5254497826. The cubic root of 8042776007 is about 2003.5583326299.

The spelling of 8042776007 in words is "eight billion, forty-two million, seven hundred seventy-six thousand, seven".