77527941744960 has 1008 divisors, whose sum is σ = 310060243374336. Its totient is φ = 17417571139584.

The previous prime is 77527941744949. The next prime is 77527941744989. The reversal of 77527941744960 is 6944714972577.

77527941744960 is a `hidden beast` number, since 7 + 7 + 5 + 27 + 9 + 41 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×77527941744960² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67240191744 + ... + 67240192896.

It is an arithmetic number, because the mean of its divisors is an integer number (307599447792).

Almost surely, 2^{77527941744960} is an apocalyptic number.

77527941744960 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 77527941744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155030121687168).

77527941744960 is an abundant number, since it is smaller than the sum of its proper divisors (232532301629376).

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

77527941744960 is a wasteful number, since it uses less digits than its factorization.

77527941744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 77527941744960 in words is "seventy-seven trillion, five hundred twenty-seven billion, nine hundred forty-one million, seven hundred forty-four thousand, nine hundred sixty".