77293338528 has 288 divisors, whose sum is σ = 246974386176. Its totient is φ = 21064361472.

The previous prime is 77293338517. The next prime is 77293338533. The reversal of 77293338528 is 82583339277.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50092125 + ... + 50093667.

It is an arithmetic number, because the mean of its divisors is an integer number (857549952).

Almost surely, 2^77293338528 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 77293338528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123487193088).

77293338528 is an abundant number, since it is smaller than the sum of its proper divisors (169681047648).

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

77293338528 is a wasteful number, since it uses less digits than its factorization.

77293338528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2041 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 77293338528 in words is "seventy-seven billion, two hundred ninety-three million, three hundred thirty-eight thousand, five hundred twenty-eight".