77749 has 8 divisors (see below), whose sum is σ = 92160. Its totient is φ = 64176.

The previous prime is 77747. The next prime is 77761. The reversal of 77749 is 94777.

77749 = T₂₀ + T₂₁ + ... + T₇₇.

77749 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77749 - 2¹ = 77747 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77743) 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 7 ways as a sum of consecutive naturals, for example, 12 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2⁷⁷⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

77749 is a deficient number, since it is larger than the sum of its proper divisors (14411).

77749 is a wasteful number, since it uses less digits than its factorization.

77749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its digits is 12348, while the sum is 34.

The square root of 77749 is about 278.8350767031. The cubic root of 77749 is about 42.6807069136.

The spelling of 77749 in words is "seventy-seven thousand, seven hundred forty-nine".