77703617703936 has 832 divisors, whose sum is σ = 257031850060800. Its totient is φ = 20374804758528.

The previous prime is 77703617703913. The next prime is 77703617703947. The reversal of 77703617703936 is 63930771630777.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9500377095 + ... + 9500385273.

Almost surely, 2^{77703617703936} 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 77703617703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128515925030400).

77703617703936 is an abundant number, since it is smaller than the sum of its proper divisors (179328232356864).

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

77703617703936 is a wasteful number, since it uses less digits than its factorization.

77703617703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 147027636, while the sum is 66.

The spelling of 77703617703936 in words is "seventy-seven trillion, seven hundred three billion, six hundred seventeen million, seven hundred three thousand, nine hundred thirty-six".