77744 has 20 divisors (see below), whose sum is σ = 155496. Its totient is φ = 37632.

The previous prime is 77743. The next prime is 77747. The reversal of 77744 is 44777.

77744 is an admirable number.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77744.

It is not an unprimeable number, because it can be changed into a prime (77743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 632 + ... + 744.

2⁷⁷⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

77744 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77748).

77744 is a wasteful number, since it uses less digits than its factorization.

77744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its digits is 5488, while the sum is 29.

The square root of 77744 is about 278.8261106855. The cubic root of 77744 is about 42.6797919689.

The spelling of 77744 in words is "seventy-seven thousand, seven hundred forty-four", and thus it is an iban number.