77341728 has 48 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 25602816.

The previous prime is 77341699. The next prime is 77341739. The reversal of 77341728 is 82714377.

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

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, 11601 + ... + 17007.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2^77341728 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 77341728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

77341728 is an abundant number, since it is smaller than the sum of its proper divisors (127080672).

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

77341728 is a wasteful number, since it uses less digits than its factorization.

77341728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569 (or 5561 counting only the distinct ones).

The product of its digits is 65856, while the sum is 39.

The square root of 77341728 is about 8794.4145910913. The cubic root of 77341728 is about 426.0605173123.

The spelling of 77341728 in words is "seventy-seven million, three hundred forty-one thousand, seven hundred twenty-eight".