77500755696 has 320 divisors, whose sum is σ = 251983872000. Its totient is φ = 19982896128.

The previous prime is 77500755649. The next prime is 77500755697. The reversal of 77500755696 is 69655700577.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77500755697) by changing a digit.

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, 36921655 + ... + 36923753.

It is an arithmetic number, because the mean of its divisors is an integer number (787449600).

Almost surely, 2^77500755696 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 77500755696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936000).

77500755696 is an abundant number, since it is smaller than the sum of its proper divisors (174483116304).

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

77500755696 is a wasteful number, since it uses less digits than its factorization.

77500755696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 57.

The spelling of 77500755696 in words is "seventy-seven billion, five hundred million, seven hundred fifty-five thousand, six hundred ninety-six".