77349728 has 48 divisors (see below), whose sum is σ = 166834080. Its totient is φ = 35137536.

The previous prime is 77349719. The next prime is 77349749. The reversal of 77349728 is 82794377.

It is a congruent number.

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, 13325 + ... + 18227.

It is an arithmetic number, because the mean of its divisors is an integer number (3475710).

Almost surely, 2^77349728 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 77349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83417040).

77349728 is an abundant number, since it is smaller than the sum of its proper divisors (89484352).

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

77349728 is a wasteful number, since it uses less digits than its factorization.

77349728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4959 (or 4951 counting only the distinct ones).

The product of its digits is 592704, while the sum is 47.

The square root of 77349728 is about 8794.8694134706. The cubic root of 77349728 is about 426.0752069532.

The spelling of 77349728 in words is "seventy-seven million, three hundred forty-nine thousand, seven hundred twenty-eight".