77165136 has 120 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 25318656.

The previous prime is 77165131. The next prime is 77165141. The reversal of 77165136 is 63156177.

It is an interprime number because it is at equal distance from previous prime (77165131) and next prime (77165141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77165136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77165131) 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 23 ways as a sum of consecutive naturals, for example, 345921 + ... + 346143.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^77165136 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 77165136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

77165136 is an abundant number, since it is smaller than the sum of its proper divisors (150320304).

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

77165136 is a wasteful number, since it uses less digits than its factorization.

77165136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 77165136 is about 8784.3688447150. The cubic root of 77165136 is about 425.7359998877.

The spelling of 77165136 in words is "seventy-seven million, one hundred sixty-five thousand, one hundred thirty-six".