29980080 has 120 divisors (see below), whose sum is σ = 108461808. Its totient is φ = 7377408.

The previous prime is 29980057. The next prime is 29980103. The reversal of 29980080 is 8008992.

It is an interprime number because it is at equal distance from previous prime (29980057) and next prime (29980103).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7759 + ... + 10961.

Almost surely, 2^29980080 is an apocalyptic number.

29980080 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 29980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54230904).

29980080 is an abundant number, since it is smaller than the sum of its proper divisors (78481728).

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

29980080 is a wasteful number, since it uses less digits than its factorization.

29980080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 29980080 is about 5475.4068341996. The cubic root of 29980080 is about 310.6544619551.

The spelling of 29980080 in words is "twenty-nine million, nine hundred eighty thousand, eighty".