77441568 has 48 divisors (see below), whose sum is σ = 213988320. Its totient is φ = 24454656.

The previous prime is 77441563. The next prime is 77441569. The reversal of 77441568 is 86514477.

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

It is not an unprimeable number, because it can be changed into a prime (77441563) 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 7 ways as a sum of consecutive naturals, for example, 19405 + ... + 23052.

It is an arithmetic number, because the mean of its divisors is an integer number (4458090).

Almost surely, 2^77441568 is an apocalyptic number.

It is an amenable number.

77441568 is an abundant number, since it is smaller than the sum of its proper divisors (136546752).

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

77441568 is a wasteful number, since it uses less digits than its factorization.

77441568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42489 (or 42481 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 77441568 is about 8800.0890904581. The cubic root of 77441568 is about 426.2437715197.

The spelling of 77441568 in words is "seventy-seven million, four hundred forty-one thousand, five hundred sixty-eight".