78736 has 40 divisors (see below), whose sum is σ = 188480. Its totient is φ = 31104.

The previous prime is 78721. The next prime is 78737. The reversal of 78736 is 63787.

78736 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 78698 and 78707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78737) by changing a digit.

78736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2110 + ... + 2146.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁷⁸⁷³⁶ is an apocalyptic number.

78736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94240).

78736 is an abundant number, since it is smaller than the sum of its proper divisors (109744).

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

78736 is a wasteful number, since it uses less digits than its factorization.

78736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 78736 is about 280.5993585167. The cubic root of 78736 is about 42.8605542258.

The spelling of 78736 in words is "seventy-eight thousand, seven hundred thirty-six".