77786136 has 64 divisors (see below), whose sum is σ = 221935200. Its totient is φ = 25225344.

The previous prime is 77786123. The next prime is 77786147. The reversal of 77786136 is 63168777.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77786091 and 77786100.

It is a congruent number.

It is an unprimeable number.

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, 3126 + ... + 12858.

Almost surely, 2^77786136 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 77786136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110967600).

77786136 is an abundant number, since it is smaller than the sum of its proper divisors (144149064).

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

77786136 is a wasteful number, since it uses less digits than its factorization.

77786136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9775 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 77786136 is about 8819.6448908105. The cubic root of 77786136 is about 426.8750116366.

The spelling of 77786136 in words is "seventy-seven million, seven hundred eighty-six thousand, one hundred thirty-six".