77444 has 12 divisors (see below), whose sum is σ = 142800. Its totient is φ = 36648.

The previous prime is 77431. The next prime is 77447. The reversal of 77444 is 44477.

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 77444.

It is not an unprimeable number, because it can be changed into a prime (77447) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 434 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (11900).

2⁷⁷⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

77444 is a deficient number, since it is larger than the sum of its proper divisors (65356).

77444 is a wasteful number, since it uses less digits than its factorization.

77444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 77444 is about 278.2876209967. The cubic root of 77444 is about 42.6248233439.

It can be divided in two parts, 7744 and 4, that multiplied together give a square (30976 = 176²).

The spelling of 77444 in words is "seventy-seven thousand, four hundred forty-four", and thus it is an iban number.