77128608 has 48 divisors (see below), whose sum is σ = 204041376. Its totient is φ = 25509120.

The previous prime is 77128607. The next prime is 77128631. The reversal of 77128608 is 80682177.

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 (77128607) 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, 9510 + ... + 15642.

It is an arithmetic number, because the mean of its divisors is an integer number (4250862).

Almost surely, 2^77128608 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 77128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102020688).

77128608 is an abundant number, since it is smaller than the sum of its proper divisors (126912768).

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

77128608 is a wasteful number, since it uses less digits than its factorization.

77128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6269 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 77128608 is about 8782.2894509348. The cubic root of 77128608 is about 425.6688117769.

The spelling of 77128608 in words is "seventy-seven million, one hundred twenty-eight thousand, six hundred eight".