77752136 has 64 divisors (see below), whose sum is σ = 183530880. Its totient is φ = 29998080.

The previous prime is 77752117. The next prime is 77752139. The reversal of 77752136 is 63125777.

It is a self number, because there is not a number n which added to its sum of digits gives 77752136.

It is not an unprimeable number, because it can be changed into a prime (77752139) 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 15 ways as a sum of consecutive naturals, for example, 69050 + ... + 70166.

It is an arithmetic number, because the mean of its divisors is an integer number (2867670).

Almost surely, 2^77752136 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 77752136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91765440).

77752136 is an abundant number, since it is smaller than the sum of its proper divisors (105778744).

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

77752136 is a wasteful number, since it uses less digits than its factorization.

77752136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

The product of its digits is 61740, while the sum is 38.

The square root of 77752136 is about 8817.7171648902. The cubic root of 77752136 is about 426.8128074689.

The spelling of 77752136 in words is "seventy-seven million, seven hundred fifty-two thousand, one hundred thirty-six".