77313544560 has 360 divisors, whose sum is σ = 302963600160. Its totient is φ = 17668901376.

The previous prime is 77313544543. The next prime is 77313544601. The reversal of 77313544560 is 6544531377.

77313544560 is a `hidden beast` number, since 7 + 7 + 31 + 3 + 54 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×77313544560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 12097846 + ... + 12104234.

It is an arithmetic number, because the mean of its divisors is an integer number (841565556).

Almost surely, 2^77313544560 is an apocalyptic number.

77313544560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77313544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151481800080).

77313544560 is an abundant number, since it is smaller than the sum of its proper divisors (225650055600).

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

77313544560 is an equidigital number, since it uses as much as digits as its factorization.

77313544560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6443 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 77313544560 in words is "seventy-seven billion, three hundred thirteen million, five hundred forty-four thousand, five hundred sixty".