77488128 has 84 divisors (see below), whose sum is σ = 224053908. Its totient is φ = 25804800.

The previous prime is 77488097. The next prime is 77488129. The reversal of 77488128 is 82188477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77488129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73203 + ... + 74253.

Almost surely, 2^77488128 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 77488128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112026954).

77488128 is an abundant number, since it is smaller than the sum of its proper divisors (146565780).

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

77488128 is a wasteful number, since it uses less digits than its factorization.

77488128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1056 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 77488128 is about 8802.7341207150. The cubic root of 77488128 is about 426.3291775643.

It can be divided in two parts, 7748 and 8128, that added together give a square (15876 = 126²).

The spelling of 77488128 in words is "seventy-seven million, four hundred eighty-eight thousand, one hundred twenty-eight".