77896 has 32 divisors (see below), whose sum is σ = 181440. Its totient is φ = 30528.

The previous prime is 77893. The next prime is 77899. The reversal of 77896 is 69877.

It is an interprime number because it is at equal distance from previous prime (77893) and next prime (77899).

It is not an unprimeable number, because it can be changed into a prime (77893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 781.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁷⁷⁸⁹⁶ 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 77896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

77896 is an abundant number, since it is smaller than the sum of its proper divisors (103544).

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

77896 is a wasteful number, since it uses less digits than its factorization.

77896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 77896 is about 279.0985489034. The cubic root of 77896 is about 42.7075887768.

The spelling of 77896 in words is "seventy-seven thousand, eight hundred ninety-six".