208002080 has 96 divisors (see below), whose sum is σ = 577378368. Its totient is φ = 69811200.

The previous prime is 208002079. The next prime is 208002121. The reversal of 208002080 is 80200802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18335 + ... + 27425.

It is an arithmetic number, because the mean of its divisors is an integer number (6014358).

Almost surely, 2^208002080 is an apocalyptic number.

208002080 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 208002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288689184).

208002080 is an abundant number, since it is smaller than the sum of its proper divisors (369376288).

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

208002080 is a wasteful number, since it uses less digits than its factorization.

208002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 208002080 is about 14422.2772127012. The cubic root of 208002080 is about 592.5011886723.

Adding to 208002080 its reverse (80200802), we get a palindrome (288202882).

The spelling of 208002080 in words is "two hundred eight million, two thousand, eighty".