77717106432 has 864 divisors, whose sum is σ = 286151104512. Its totient is φ = 19779158016.

The previous prime is 77717106431. The next prime is 77717106433. The reversal of 77717106432 is 23460171777.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77717106431) and next prime (77717106433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77717106431) 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, 476791983 + ... + 476792145.

It is an arithmetic number, because the mean of its divisors is an integer number (331193408).

Almost surely, 2^77717106432 is an apocalyptic number.

77717106432 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 77717106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143075552256).

77717106432 is an abundant number, since it is smaller than the sum of its proper divisors (208433998080).

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

77717106432 is a wasteful number, since it uses less digits than its factorization.

77717106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 77717106432 in words is "seventy-seven billion, seven hundred seventeen million, one hundred six thousand, four hundred thirty-two".