77029447680 has 144 divisors (see below), whose sum is σ = 266970543840. Its totient is φ = 20541161472.

The previous prime is 77029447639. The next prime is 77029447723. The reversal of 77029447680 is 8674492077.

77029447680 is a `hidden beast` number, since 7 + 7 + 0 + 2 + 94 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325752 + ... + 510071.

It is an arithmetic number, because the mean of its divisors is an integer number (1853962110).

Almost surely, 2^77029447680 is an apocalyptic number.

It is an amenable number.

77029447680 is an abundant number, since it is smaller than the sum of its proper divisors (189941096160).

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

77029447680 is a wasteful number, since it uses less digits than its factorization.

77029447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835856 (or 835833 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 77029447680 in words is "seventy-seven billion, twenty-nine million, four hundred forty-seven thousand, six hundred eighty".