77527272960 has 320 divisors, whose sum is σ = 284886676800. Its totient is φ = 19960528896.

The previous prime is 77527272947. The next prime is 77527272997. The reversal of 77527272960 is 6927272577.

77527272960 is a `hidden beast` number, since 7 + 7 + 527 + 27 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×77527272960² (a number of 23 digits) contains 22 as substring.

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 = 77527272897 and 77527272906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985142 + ... + 2023818.

It is an arithmetic number, because the mean of its divisors is an integer number (890270865).

Almost surely, 2^77527272960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77527272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142443338400).

77527272960 is an abundant number, since it is smaller than the sum of its proper divisors (207359403840).

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

77527272960 is a wasteful number, since it uses less digits than its factorization.

77527272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38738 (or 38716 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 77527272960 in words is "seventy-seven billion, five hundred twenty-seven million, two hundred seventy-two thousand, nine hundred sixty".