77057449560 has 1152 divisors, whose sum is σ = 332983872000. Its totient is φ = 15087181824.

The previous prime is 77057449537. The next prime is 77057449571. The reversal of 77057449560 is 6594475077.

77057449560 is a `hidden beast` number, since 7 + 7 + 0 + 5 + 74 + 4 + 9 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 77057449497 and 77057449506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 720163027 + ... + 720163133.

It is an arithmetic number, because the mean of its divisors is an integer number (289048500).

Almost surely, 2^77057449560 is an apocalyptic number.

77057449560 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 77057449560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166491936000).

77057449560 is an abundant number, since it is smaller than the sum of its proper divisors (255926422440).

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

77057449560 is a wasteful number, since it uses less digits than its factorization.

77057449560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 77057449560 in words is "seventy-seven billion, fifty-seven million, four hundred forty-nine thousand, five hundred sixty".