1007000077 has 2 divisors, whose sum is σ = 1007000078. Its totient is φ = 1007000076.

The previous prime is 1007000011. The next prime is 1007000119. The reversal of 1007000077 is 7700007001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 918150601 + 88849476 = 30301^2 + 9426^2 .

It is an emirp because it is prime and its reverse (7700007001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007000077 - 2⁷ = 1006999949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007000677) 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 as a sum of consecutive naturals, namely, 503500038 + 503500039.

It is an arithmetic number, because the mean of its divisors is an integer number (503500039).

Almost surely, 2^1007000077 is an apocalyptic number.

It is an amenable number.

1007000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007000077 is an equidigital number, since it uses as much as digits as its factorization.

1007000077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 343, while the sum is 22.

The square root of 1007000077 is about 31733.2645184828. The cubic root of 1007000077 is about 1002.3279355110.

Adding to 1007000077 its reverse (7700007001), we get a palindrome (8707007078).

The spelling of 1007000077 in words is "one billion, seven million, seventy-seven", and thus it is an aban number and an uban number.