76544 has 36 divisors (see below), whose sum is σ = 171696. Its totient is φ = 33792.

The previous prime is 76543. The next prime is 76561. The reversal of 76544 is 44567.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76541) 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 3 ways as a sum of consecutive naturals, for example, 3317 + ... + 3339.

2⁷⁶⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85848).

76544 is an abundant number, since it is smaller than the sum of its proper divisors (95152).

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

76544 is a wasteful number, since it uses less digits than its factorization.

76544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 38 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 76544 is about 276.6658634526. The cubic root of 76544 is about 42.4590609232.

The spelling of 76544 in words is "seventy-six thousand, five hundred forty-four".