76644 has 18 divisors (see below), whose sum is σ = 193830. Its totient is φ = 25536.

The previous prime is 76631. The next prime is 76649. The reversal of 76644 is 44667.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 19044 = 240^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76649) by changing a digit.

76644 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1029 + ... + 1100.

2⁷⁶⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

76644 is an abundant number, since it is smaller than the sum of its proper divisors (117186).

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

76644 is a wasteful number, since it uses less digits than its factorization.

76644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2134 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 76644 is about 276.8465278814. The cubic root of 76644 is about 42.4775429223.

The spelling of 76644 in words is "seventy-six thousand, six hundred forty-four".