77545636 has 81 divisors (see below), whose sum is σ = 172347651. Its totient is φ = 30433536.

The previous prime is 77545621. The next prime is 77545639. The reversal of 77545636 is 63654577.

The square root of 77545636 is 8806.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36072036 + 41473600 = 6006^2 + 6440^2 .

Its product of digits (529200) is a multiple of the sum of its prime divisors (63).

It is a junction number, because it is equal to n+sod(n) for n = 77545592 and 77545601.

It is not an unprimeable number, because it can be changed into a prime (77545639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2095810 + ... + 2095846.

Almost surely, 2^77545636 is an apocalyptic number.

77545636 is the 8806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77545636

77545636 is an abundant number, since it is smaller than the sum of its proper divisors (94802015).

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

77545636 is a wasteful number, since it uses less digits than its factorization.

77545636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 63 counting only the distinct ones).

The product of its digits is 529200, while the sum is 43.

The cubic root of 77545636 is about 426.4346185580.

The spelling of 77545636 in words is "seventy-seven million, five hundred forty-five thousand, six hundred thirty-six".