77865914880 has 960 divisors, whose sum is σ = 308860231680. Its totient is φ = 17984913408.

The previous prime is 77865914849. The next prime is 77865914881. The reversal of 77865914880 is 8841956877.

77865914880 is a `hidden beast` number, since 7 + 7 + 8 + 65 + 91 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (77865914881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613117377 + ... + 613117503.

It is an arithmetic number, because the mean of its divisors is an integer number (321729408).

Almost surely, 2^77865914880 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 77865914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

77865914880 is an abundant number, since it is smaller than the sum of its proper divisors (230994316800).

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

77865914880 is a wasteful number, since it uses less digits than its factorization.

77865914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 77865914880 in words is "seventy-seven billion, eight hundred sixty-five million, nine hundred fourteen thousand, eight hundred eighty".