208120880 has 80 divisors (see below), whose sum is σ = 535465728. Its totient is φ = 74592000.

The previous prime is 208120853. The next prime is 208120897. The reversal of 208120880 is 88021802.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 60815 + ... + 64145.

Almost surely, 2^208120880 is an apocalyptic number.

208120880 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 208120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864).

208120880 is an abundant number, since it is smaller than the sum of its proper divisors (327344848).

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

208120880 is a wasteful number, since it uses less digits than its factorization.

208120880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 208120880 is about 14426.3952531462. The cubic root of 208120880 is about 592.6139691864.

The spelling of 208120880 in words is "two hundred eight million, one hundred twenty thousand, eight hundred eighty".