77760845438256 has 160 divisors (see below), whose sum is σ = 230408567193600. Its totient is φ = 25083483701760.

The previous prime is 77760845438233. The next prime is 77760845438303. The reversal of 77760845438256 is 65283454806777.

77760845438256 is a `hidden beast` number, since 7 + 7 + 7 + 60 + 84 + 5 + 438 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951313420 + ... + 951395156.

It is an arithmetic number, because the mean of its divisors is an integer number (1440053544960).

Almost surely, 2^{77760845438256} is an apocalyptic number.

It is an amenable number.

77760845438256 is an abundant number, since it is smaller than the sum of its proper divisors (152647721755344).

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

77760845438256 is a wasteful number, since it uses less digits than its factorization.

77760845438256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152824 (or 152812 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 72.

The spelling of 77760845438256 in words is "seventy-seven trillion, seven hundred sixty billion, eight hundred forty-five million, four hundred thirty-eight thousand, two hundred fifty-six".