77116809808512 has 768 divisors, whose sum is σ = 236507439168000. Its totient is φ = 25005988638720.

The previous prime is 77116809808501. The next prime is 77116809808517. The reversal of 77116809808512 is 21580890861177.

It is a super-2 number, since 2×77116809808512² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77116809808512.

It is not an unprimeable number, because it can be changed into a prime (77116809808517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50370221187 + ... + 50370222717.

It is an arithmetic number, because the mean of its divisors is an integer number (307952394750).

Almost surely, 2^{77116809808512} is an apocalyptic number.

77116809808512 is a gapful number since it is divisible by the number (72) 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 77116809808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118253719584000).

77116809808512 is an abundant number, since it is smaller than the sum of its proper divisors (159390629359488).

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

77116809808512 is a wasteful number, since it uses less digits than its factorization.

77116809808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 63.

The spelling of 77116809808512 in words is "seventy-seven trillion, one hundred sixteen billion, eight hundred nine million, eight hundred eight thousand, five hundred twelve".