77586768 has 80 divisors (see below), whose sum is σ = 254527360. Its totient is φ = 22166784.

The previous prime is 77586767. The next prime is 77586779. The reversal of 77586768 is 86768577.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77586767) 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 15 ways as a sum of consecutive naturals, for example, 9805 + ... + 15852.

It is an arithmetic number, because the mean of its divisors is an integer number (3181592).

Almost surely, 2^77586768 is an apocalyptic number.

It is an amenable number.

77586768 is an abundant number, since it is smaller than the sum of its proper divisors (176940592).

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

77586768 is a wasteful number, since it uses less digits than its factorization.

77586768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25681 (or 25669 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 77586768 is about 8808.3351434877. The cubic root of 77586768 is about 426.5100021614.

The spelling of 77586768 in words is "seventy-seven million, five hundred eighty-six thousand, seven hundred sixty-eight".