3008800080 has 800 divisors, whose sum is σ = 13067163648. Its totient is φ = 630374400.

The previous prime is 3008800079. The next prime is 3008800103. The reversal of 3008800080 is 800088003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15752785 + ... + 15752975.

Almost surely, 2^3008800080 is an apocalyptic number.

3008800080 is a gapful number since it is divisible by the number (30) 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 3008800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

3008800080 is an abundant number, since it is smaller than the sum of its proper divisors (10058363568).

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

3008800080 is a wasteful number, since it uses less digits than its factorization.

3008800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3008800080 is about 54852.5302971522. The cubic root of 3008800080 is about 1443.6584060631.

Adding to 3008800080 its reverse (800088003), we get a palindrome (3808888083).

The spelling of 3008800080 in words is "three billion, eight million, eight hundred thousand, eighty".