77433287760 has 480 divisors, whose sum is σ = 282272638752. Its totient is φ = 18951045120.

The previous prime is 77433287753. The next prime is 77433287791. The reversal of 77433287760 is 6778233477.

77433287760 is a `hidden beast` number, since 77 + 433 + 2 + 87 + 7 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18756945936 + 58676341824 = 136956^2 + 242232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 77433287697 and 77433287706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102289302 + ... + 102290058.

Almost surely, 2^77433287760 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 77433287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141136319376).

77433287760 is an abundant number, since it is smaller than the sum of its proper divisors (204839350992).

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

77433287760 is a wasteful number, since it uses less digits than its factorization.

77433287760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 77433287760 in words is "seventy-seven billion, four hundred thirty-three million, two hundred eighty-seven thousand, seven hundred sixty".