77795727072 has 96 divisors (see below), whose sum is σ = 235169028864. Its totient is φ = 22057651200.

The previous prime is 77795727049. The next prime is 77795727143. The reversal of 77795727072 is 27072759777.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×77795727072² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77795726997 and 77795727015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353829 + ... + 529892.

It is an arithmetic number, because the mean of its divisors is an integer number (2449677384).

Almost surely, 2^77795727072 is an apocalyptic number.

It is an amenable number.

77795727072 is an abundant number, since it is smaller than the sum of its proper divisors (157373301792).

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

77795727072 is a wasteful number, since it uses less digits than its factorization.

77795727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883872 (or 883864 counting only the distinct ones).

The product of its (nonzero) digits is 21176820, while the sum is 60.

The spelling of 77795727072 in words is "seventy-seven billion, seven hundred ninety-five million, seven hundred twenty-seven thousand, seventy-two".