29880 has 48 divisors (see below), whose sum is σ = 98280. Its totient is φ = 7872.

The previous prime is 29879. The next prime is 29881. The reversal of 29880 is 8892.

29880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (29879) and next prime (29881).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319 + ... + 401.

2²⁹⁸⁸⁰ is an apocalyptic number.

29880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

29880 is an abundant number, since it is smaller than the sum of its proper divisors (68400).

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

29880 is a wasteful number, since it uses less digits than its factorization.

29880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29880 is about 172.8583234907. The cubic root of 29880 is about 31.0308399300.

It can be divided in two parts, 298 and 80, that added together give a triangular number (378 = T₂₇).

The spelling of 29880 in words is "twenty-nine thousand, eight hundred eighty".