77071083057 has 12 divisors (see below), whose sum is σ = 117873421380. Its totient is φ = 48358326528.

The previous prime is 77071083043. The next prime is 77071083071. The reversal of 77071083057 is 75038017077.

It is an interprime number because it is at equal distance from previous prime (77071083043) and next prime (77071083071).

It can be written as a sum of positive squares in 2 ways, for example, as 71590494096 + 5480588961 = 267564^2 + 74031^2 .

It is not a de Polignac number, because 77071083057 - 2¹⁴ = 77071066673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77071083457) 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 11 ways as a sum of consecutive naturals, for example, 251866132 + ... + 251866437.

It is an arithmetic number, because the mean of its divisors is an integer number (9822785115).

Almost surely, 2^77071083057 is an apocalyptic number.

It is an amenable number.

77071083057 is a deficient number, since it is larger than the sum of its proper divisors (40802338323).

77071083057 is a wasteful number, since it uses less digits than its factorization.

77071083057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503732592 (or 503732589 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 77071083057 in words is "seventy-seven billion, seventy-one million, eighty-three thousand, fifty-seven".