29978880 has 144 divisors (see below), whose sum is σ = 98798784. Its totient is φ = 7741440.

The previous prime is 29978873. The next prime is 29978887. The reversal of 29978880 is 8887992.

It is an interprime number because it is at equal distance from previous prime (29978873) and next prime (29978887).

It is not an unprimeable number, because it can be changed into a prime (29978887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141975 + ... + 142185.

Almost surely, 2^29978880 is an apocalyptic number.

29978880 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 29978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49399392).

29978880 is an abundant number, since it is smaller than the sum of its proper divisors (68819904).

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

29978880 is a wasteful number, since it uses less digits than its factorization.

29978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 29978880 is about 5475.2972522047. The cubic root of 29978880 is about 310.6503170882.

The spelling of 29978880 in words is "twenty-nine million, nine hundred seventy-eight thousand, eight hundred eighty".