77728445436582 has 32 divisors (see below), whose sum is σ = 172749399516000. Its totient is φ = 25906553697024.

The previous prime is 77728445436563. The next prime is 77728445436659. The reversal of 77728445436582 is 28563454482777.

77728445436582 is a `hidden beast` number, since 7 + 7 + 7 + 2 + 8 + 4 + 4 + 5 + 4 + 36 + 582 = 666.

It is a super-2 number, since 2×77728445436582² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77728445436582.

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, 80854263 + ... + 81809954.

It is an arithmetic number, because the mean of its divisors is an integer number (5398418734875).

Almost surely, 2^{77728445436582} is an apocalyptic number.

77728445436582 is an abundant number, since it is smaller than the sum of its proper divisors (95020954079418).

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

77728445436582 is a wasteful number, since it uses less digits than its factorization.

77728445436582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162673077 (or 162673071 counting only the distinct ones).

The product of its digits is 2528870400, while the sum is 72.

The spelling of 77728445436582 in words is "seventy-seven trillion, seven hundred twenty-eight billion, four hundred forty-five million, four hundred thirty-six thousand, five hundred eighty-two".