77105728 has 56 divisors (see below), whose sum is σ = 176580800. Its totient is φ = 32721408.

The previous prime is 77105713. The next prime is 77105741. The reversal of 77105728 is 82750177.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48043 + ... + 49621.

Almost surely, 2^77105728 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 77105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88290400).

77105728 is an abundant number, since it is smaller than the sum of its proper divisors (99475072).

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

77105728 is a wasteful number, since it uses less digits than its factorization.

77105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The square root of 77105728 is about 8780.9867327083. The cubic root of 77105728 is about 425.6267164339.

The spelling of 77105728 in words is "seventy-seven million, one hundred five thousand, seven hundred twenty-eight".