77365834560 has 672 divisors, whose sum is σ = 319128526080. Its totient is φ = 17473978368.

The previous prime is 77365834549. The next prime is 77365834603. The reversal of 77365834560 is 6543856377.

77365834560 is a `hidden beast` number, since 7 + 7 + 3 + 6 + 583 + 4 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77365834497 and 77365834506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48443682 + ... + 48445278.

It is an arithmetic number, because the mean of its divisors is an integer number (474893640).

Almost surely, 2^77365834560 is an apocalyptic number.

77365834560 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 77365834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159564263040).

77365834560 is an abundant number, since it is smaller than the sum of its proper divisors (241762691520).

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

77365834560 is a wasteful number, since it uses less digits than its factorization.

77365834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

It can be divided in two parts, 77365 and 834560, that added together give a triangular number (911925 = T₁₃₅₀).

The spelling of 77365834560 in words is "seventy-seven billion, three hundred sixty-five million, eight hundred thirty-four thousand, five hundred sixty".