8005077 has 6 divisors (see below), whose sum is σ = 11562902. Its totient is φ = 5336712.

The previous prime is 8005051. The next prime is 8005097. The reversal of 8005077 is 7705008.

It can be written as a sum of positive squares in only one way, i.e., 5948721 + 2056356 = 2439^2 + 1434^2 .

It is not a de Polignac number, because 8005077 - 2⁷ = 8004949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8005077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 444718 + ... + 444735.

Almost surely, 2^8005077 is an apocalyptic number.

It is an amenable number.

8005077 is a deficient number, since it is larger than the sum of its proper divisors (3557825).

8005077 is a wasteful number, since it uses less digits than its factorization.

8005077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889459 (or 889456 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 8005077 is about 2829.3244776801. The cubic root of 8005077 is about 200.0422993865.

The spelling of 8005077 in words is "eight million, five thousand, seventy-seven".