77608311 has 24 divisors (see below), whose sum is σ = 115473792. Its totient is φ = 46318800.

The previous prime is 77608301. The next prime is 77608343. The reversal of 77608311 is 11380677.

It is not a de Polignac number, because 77608311 - 2¹⁸ = 77346167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77608301) 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 23 ways as a sum of consecutive naturals, for example, 22726 + ... + 25916.

It is an arithmetic number, because the mean of its divisors is an integer number (4811408).

Almost surely, 2^77608311 is an apocalyptic number.

77608311 is a deficient number, since it is larger than the sum of its proper divisors (37865481).

77608311 is a wasteful number, since it uses less digits than its factorization.

77608311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 77608311 is about 8809.5579344255. The cubic root of 77608311 is about 426.5494739035.

Adding to 77608311 its reverse (11380677), we get a palindrome (88988988).

The spelling of 77608311 in words is "seventy-seven million, six hundred eight thousand, three hundred eleven".