77683857408 has 288 divisors, whose sum is σ = 234557668800. Its totient is φ = 25685434368.

The previous prime is 77683857401. The next prime is 77683857421. The reversal of 77683857408 is 80475838677.

77683857408 is a `hidden beast` number, since 7 + 76 + 83 + 85 + 7 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77683857401) 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 23 ways as a sum of consecutive naturals, for example, 69174735 + ... + 69175857.

It is an arithmetic number, because the mean of its divisors is an integer number (814436350).

Almost surely, 2^77683857408 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 77683857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117278834400).

77683857408 is an abundant number, since it is smaller than the sum of its proper divisors (156873811392).

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

77683857408 is a wasteful number, since it uses less digits than its factorization.

77683857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 77683857408 in words is "seventy-seven billion, six hundred eighty-three million, eight hundred fifty-seven thousand, four hundred eight".