77943116160 has 1536 divisors, whose sum is σ = 354170275200. Its totient is φ = 16052649984.

The previous prime is 77943116143. The next prime is 77943116161. The reversal of 77943116160 is 6161134977.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77943116161) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 803537232 + ... + 803537328.

Almost surely, 2^77943116160 is an apocalyptic number.

77943116160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77943116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085137600).

77943116160 is an abundant number, since it is smaller than the sum of its proper divisors (276227159040).

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

77943116160 is a wasteful number, since it uses less digits than its factorization.

77943116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 77943116160 in words is "seventy-seven billion, nine hundred forty-three million, one hundred sixteen thousand, one hundred sixty".