29780480 has 40 divisors (see below), whose sum is σ = 71409492. Its totient is φ = 11911168.

The previous prime is 29780459. The next prime is 29780489. The reversal of 29780480 is 8408792.

It can be written as a sum of positive squares in 2 ways, for example, as 29767936 + 12544 = 5456^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (29780489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3257 + ... + 8376.

Almost surely, 2^29780480 is an apocalyptic number.

29780480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29780480 is an abundant number, since it is smaller than the sum of its proper divisors (41629012).

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

29780480 is an equidigital number, since it uses as much as digits as its factorization.

29780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 29780480 is about 5457.1494390387. The cubic root of 29780480 is about 309.9635059364.

The spelling of 29780480 in words is "twenty-nine million, seven hundred eighty thousand, four hundred eighty".