29790000 has 150 divisors (see below), whose sum is σ = 104494676. Its totient is φ = 7920000.

The previous prime is 29789999. The next prime is 29790011. The reversal of 29790000 is 9792.

It is a tau number, because it is divible by the number of its divisors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89835 + ... + 90165.

Almost surely, 2^29790000 is an apocalyptic number.

29790000 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 29790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52247338).

29790000 is an abundant number, since it is smaller than the sum of its proper divisors (74704676).

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

29790000 is a wasteful number, since it uses less digits than its factorization.

29790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 29790000 is about 5458.0216195981. The cubic root of 29790000 is about 309.9965313521.

Adding to 29790000 its reverse (9792), we get a palindrome (29799792).

The spelling of 29790000 in words is "twenty-nine million, seven hundred ninety thousand".