77827968 has 48 divisors (see below), whose sum is σ = 223961400. Its totient is φ = 25942272.

The previous prime is 77827951. The next prime is 77828027. The reversal of 77827968 is 86972877.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 32628 + ... + 34931.

Almost surely, 2^77827968 is an apocalyptic number.

It is an amenable number.

77827968 is an abundant number, since it is smaller than the sum of its proper divisors (146133432).

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

77827968 is a wasteful number, since it uses less digits than its factorization.

77827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67579 (or 67564 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 77827968 is about 8822.0160961086. The cubic root of 77827968 is about 426.9515198521.

The spelling of 77827968 in words is "seventy-seven million, eight hundred twenty-seven thousand, nine hundred sixty-eight".