29800 has 24 divisors (see below), whose sum is σ = 69750. Its totient is φ = 11840.

The previous prime is 29789. The next prime is 29803. The reversal of 29800 is 892.

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 13924 = 126^2 + 118^2 .

It is not an unprimeable number, because it can be changed into a prime (29803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126 + ... + 274.

2²⁹⁸⁰⁰ is an apocalyptic number.

29800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29800 is the 100-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34875).

29800 is an abundant number, since it is smaller than the sum of its proper divisors (39950).

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

29800 is a wasteful number, since it uses less digits than its factorization.

29800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 29800 is about 172.6267650163. The cubic root of 29800 is about 31.0031214339.

It can be divided in two parts, 2 and 9800, that multiplied together give a square (19600 = 140²).

The spelling of 29800 in words is "twenty-nine thousand, eight hundred".