77460768 has 216 divisors, whose sum is σ = 280098000. Its totient is φ = 20079360.

The previous prime is 77460763. The next prime is 77460791. The reversal of 77460768 is 86706477.

It is a super-3 number, since 3×77460768³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (77460763) 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 35 ways as a sum of consecutive naturals, for example, 154983 + ... + 155481.

It is an arithmetic number, because the mean of its divisors is an integer number (1296750).

Almost surely, 2^77460768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

77460768 is an abundant number, since it is smaller than the sum of its proper divisors (202637232).

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

77460768 is a wasteful number, since it uses less digits than its factorization.

77460768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 77460768 is about 8801.1799208970. The cubic root of 77460768 is about 426.2789946537.

The spelling of 77460768 in words is "seventy-seven million, four hundred sixty thousand, seven hundred sixty-eight".