77589648 has 30 divisors (see below), whose sum is σ = 217143654. Its totient is φ = 25863168.

The previous prime is 77589643. The next prime is 77589727. The reversal of 77589648 is 84698577.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 2108304 = 8688^2 + 1452^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77589594 and 77589603.

It is not an unprimeable number, because it can be changed into a prime (77589643) 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, 269265 + ... + 269552.

Almost surely, 2^77589648 is an apocalyptic number.

It is an amenable number.

77589648 is an abundant number, since it is smaller than the sum of its proper divisors (139554006).

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

77589648 is a wasteful number, since it uses less digits than its factorization.

77589648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538831 (or 538822 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 77589648 is about 8808.4986234886. The cubic root of 77589648 is about 426.5152794084.

The spelling of 77589648 in words is "seventy-seven million, five hundred eighty-nine thousand, six hundred forty-eight".