77115712 has 28 divisors (see below), whose sum is σ = 155542996. Its totient is φ = 37923840.

The previous prime is 77115697. The next prime is 77115719. The reversal of 77115712 is 21751177.

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 66977856 = 3184^2 + 8184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77115719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5973 + ... + 13780.

It is an arithmetic number, because the mean of its divisors is an integer number (5555107).

Almost surely, 2^77115712 is an apocalyptic number.

It is an amenable number.

77115712 is an abundant number, since it is smaller than the sum of its proper divisors (78427284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77115712 is a wasteful number, since it uses less digits than its factorization.

77115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19826 (or 19816 counting only the distinct ones).

The product of its digits is 3430, while the sum is 31.

The square root of 77115712 is about 8781.5552153363. Note that the first 3 decimals coincide. The cubic root of 77115712 is about 425.6450863348.

Adding to 77115712 its reverse (21751177), we get a palindrome (98866889).

The spelling of 77115712 in words is "seventy-seven million, one hundred fifteen thousand, seven hundred twelve".