77912832704 has 112 divisors (see below), whose sum is σ = 182649815040. Its totient is φ = 32268948480.

The previous prime is 77912832637. The next prime is 77912832727. The reversal of 77912832704 is 40723821977.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×77912832704² (a number of 23 digits) contains 22 as substring.

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, 11065217 + ... + 11072255.

It is an arithmetic number, because the mean of its divisors is an integer number (1630801920).

Almost surely, 2^77912832704 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 77912832704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91324907520).

77912832704 is an abundant number, since it is smaller than the sum of its proper divisors (104736982336).

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

77912832704 is a wasteful number, since it uses less digits than its factorization.

77912832704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The spelling of 77912832704 in words is "seventy-seven billion, nine hundred twelve million, eight hundred thirty-two thousand, seven hundred four".