77433116288 has 128 divisors (see below), whose sum is σ = 170785454400. Its totient is φ = 34677637120.

The previous prime is 77433116273. The next prime is 77433116309. The reversal of 77433116288 is 88261133477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29677928 + ... + 29680536.

Almost surely, 2^77433116288 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 77433116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85392727200).

77433116288 is an abundant number, since it is smaller than the sum of its proper divisors (93352338112).

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

77433116288 is a wasteful number, since it uses less digits than its factorization.

77433116288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2926 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The spelling of 77433116288 in words is "seventy-seven billion, four hundred thirty-three million, one hundred sixteen thousand, two hundred eighty-eight".