77117500632704 has 128 divisors (see below), whose sum is σ = 175913464970880. Its totient is φ = 32987637043200.

The previous prime is 77117500632619. The next prime is 77117500632713. The reversal of 77117500632704 is 40723600571177.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383667622 + ... + 1383723354.

It is an arithmetic number, because the mean of its divisors is an integer number (1374323945085).

Almost surely, 2^{77117500632704} 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 77117500632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87956732485440).

77117500632704 is an abundant number, since it is smaller than the sum of its proper divisors (98795964338176).

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

77117500632704 is a wasteful number, since it uses less digits than its factorization.

77117500632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58658 (or 58646 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 50.

The spelling of 77117500632704 in words is "seventy-seven trillion, one hundred seventeen billion, five hundred million, six hundred thirty-two thousand, seven hundred four".