76944 has 40 divisors (see below), whose sum is σ = 228160. Its totient is φ = 21888.

The previous prime is 76943. The next prime is 76949. The reversal of 76944 is 44967.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76944.

It is not an unprimeable number, because it can be changed into a prime (76943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (5704).

2⁷⁶⁹⁴⁴ 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 76944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114080).

76944 is an abundant number, since it is smaller than the sum of its proper divisors (151216).

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

76944 is a wasteful number, since it uses less digits than its factorization.

76944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 76944 is about 277.3878151614. The cubic root of 76944 is about 42.5328926448.

The spelling of 76944 in words is "seventy-six thousand, nine hundred forty-four".