74880 has 96 divisors (see below), whose sum is σ = 278460. Its totient is φ = 18432.

The previous prime is 74873. The next prime is 74887. The reversal of 74880 is 8847.

74880 = 9³ + 10³ + ... + 23³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74873) and next prime (74887).

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 5184 = 264^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (74887) by changing a digit.

74880 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 11 ways as a sum of consecutive naturals, for example, 5754 + ... + 5766.

2⁷⁴⁸⁸⁰ 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 74880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230).

74880 is an abundant number, since it is smaller than the sum of its proper divisors (203580).

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

74880 is a wasteful number, since it uses less digits than its factorization.

74880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74880 is about 273.6421020238. The cubic root of 74880 is about 42.1491297212.

It can be divided in two parts, 748 and 80, that added together give a palindrome (828).

The spelling of 74880 in words is "seventy-four thousand, eight hundred eighty".