77288768 has 28 divisors (see below), whose sum is σ = 153779220. Its totient is φ = 38541312.

The previous prime is 77288767. The next prime is 77288773. The reversal of 77288768 is 86788277.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26708224 + 50580544 = 5168^2 + 7112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77288767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26318 + ... + 29106.

It is an arithmetic number, because the mean of its divisors is an integer number (5492115).

Almost surely, 2^77288768 is an apocalyptic number.

It is an amenable number.

77288768 is a deficient number, since it is larger than the sum of its proper divisors (76490452).

77288768 is a wasteful number, since it uses less digits than its factorization.

77288768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3224 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 53.

The square root of 77288768 is about 8791.4030734576. The cubic root of 77288768 is about 425.9632463314.

The spelling of 77288768 in words is "seventy-seven million, two hundred eighty-eight thousand, seven hundred sixty-eight".