29900800 has 90 divisors (see below), whose sum is σ = 75167498. Its totient is φ = 11796480.

The previous prime is 29900779. The next prime is 29900803. The reversal of 29900800 is 800992.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 27541504 = 1536^2 + 5248^2 .

It is not an unprimeable number, because it can be changed into a prime (29900803) 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 5 ways as a sum of consecutive naturals, for example, 409564 + ... + 409636.

Almost surely, 2^29900800 is an apocalyptic number.

29900800 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 29900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37583749).

29900800 is an abundant number, since it is smaller than the sum of its proper divisors (45266698).

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

29900800 is an frugal number, since it uses more digits than its factorization.

29900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 29900800 is about 5468.1623970032. The cubic root of 29900800 is about 310.3803863329.

The spelling of 29900800 in words is "twenty-nine million, nine hundred thousand, eight hundred".