78849 has 6 divisors (see below), whose sum is σ = 113906. Its totient is φ = 52560.

The previous prime is 78839. The next prime is 78853. The reversal of 78849 is 94887.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 28224 = 225^2 + 168^2 .

It is not a de Polignac number, because 78849 - 2⁷ = 78721 is a prime.

It is an Ulam number.

It is a Duffinian number.

78849 is a lucky number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (78809) 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 5 ways as a sum of consecutive naturals, for example, 4372 + ... + 4389.

It is a Proth number, since it is equal to 77 ⋅ 2¹⁰ + 1 and 77 < 2¹⁰.

2⁷⁸⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

78849 is a deficient number, since it is larger than the sum of its proper divisors (35057).

78849 is a wasteful number, since it uses less digits than its factorization.

78849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767 (or 8764 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 78849 is about 280.8006410249. The cubic root of 78849 is about 42.8810485677.

The spelling of 78849 in words is "seventy-eight thousand, eight hundred forty-nine".