1077057767 has 12 divisors (see below), whose sum is σ = 1117632360. Its totient is φ = 1037911392.

The previous prime is 1077057757. The next prime is 1077057791. The reversal of 1077057767 is 7677507701.

It is not a de Polignac number, because 1077057767 - 2²⁰ = 1076009191 is a prime.

It is a super-3 number, since 3×1077057767³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077057757) 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 11 ways as a sum of consecutive naturals, for example, 620633 + ... + 622365.

It is an arithmetic number, because the mean of its divisors is an integer number (93136030).

Almost surely, 2^1077057767 is an apocalyptic number.

1077057767 is a deficient number, since it is larger than the sum of its proper divisors (40574593).

1077057767 is an equidigital number, since it uses as much as digits as its factorization.

1077057767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 504210, while the sum is 47.

The square root of 1077057767 is about 32818.5582711977. The cubic root of 1077057767 is about 1025.0530266440.

The spelling of 1077057767 in words is "one billion, seventy-seven million, fifty-seven thousand, seven hundred sixty-seven".