77485235688 has 160 divisors (see below), whose sum is σ = 248613879360. Its totient is φ = 22086950400.

The previous prime is 77485235627. The next prime is 77485235699. The reversal of 77485235688 is 88653258477.

77485235688 is a `hidden beast` number, since 7 + 7 + 48 + 5 + 23 + 568 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 1944363 + ... + 1983813.

It is an arithmetic number, because the mean of its divisors is an integer number (1553836746).

Almost surely, 2^77485235688 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 77485235688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124306939680).

77485235688 is an abundant number, since it is smaller than the sum of its proper divisors (171128643672).

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

77485235688 is a wasteful number, since it uses less digits than its factorization.

77485235688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39909 (or 39896 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 77485235688 in words is "seventy-seven billion, four hundred eighty-five million, two hundred thirty-five thousand, six hundred eighty-eight".