77831514289 has 9 divisors (see below), whose sum is σ = 78239555947. Its totient is φ = 77425594024.

The previous prime is 77831514269. The next prime is 77831514301. The reversal of 77831514289 is 98241513877.

The square root of 77831514289 is 278983.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76821545889 + 1009968400 = 277167^2 + 31780^2 .

It is not a de Polignac number, because 77831514289 - 2⁹ = 77831513777 is a prime.

It is a super-2 number, since 2×77831514289² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77831514269) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63328527 + ... + 63329755.

Almost surely, 2^77831514289 is an apocalyptic number.

77831514289 is the 278983-rd square number.

77831514289 is the 139492-nd centered octagonal number.

It is an amenable number.

77831514289 is a deficient number, since it is larger than the sum of its proper divisors (408041658).

77831514289 is an frugal number, since it uses more digits than its factorization.

77831514289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 1456 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 55.

The spelling of 77831514289 in words is "seventy-seven billion, eight hundred thirty-one million, five hundred fourteen thousand, two hundred eighty-nine".