77967248 has 20 divisors (see below), whose sum is σ = 152168460. Its totient is φ = 38697984.

The previous prime is 77967247. The next prime is 77967259. The reversal of 77967248 is 84276977.

It can be written as a sum of positive squares in 2 ways, for example, as 64513024 + 13454224 = 8032^2 + 3668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77967196 and 77967205.

It is not an unprimeable number, because it can be changed into a prime (77967247) 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 3 ways as a sum of consecutive naturals, for example, 15593 + ... + 19976.

It is an arithmetic number, because the mean of its divisors is an integer number (7608423).

Almost surely, 2^77967248 is an apocalyptic number.

It is an amenable number.

77967248 is a deficient number, since it is larger than the sum of its proper divisors (74201212).

77967248 is a wasteful number, since it uses less digits than its factorization.

77967248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35714 (or 35708 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 50.

The square root of 77967248 is about 8829.9064547706. The cubic root of 77967248 is about 427.2060571834.

The spelling of 77967248 in words is "seventy-seven million, nine hundred sixty-seven thousand, two hundred forty-eight".