8030080800 has 756 divisors, whose sum is σ = 34312026546. Its totient is φ = 1828915200.

The previous prime is 8030080777. The next prime is 8030080819. The reversal of 8030080800 is 80800308.

It can be written as a sum of positive squares in 3 ways, for example, as 6543515664 + 1486565136 = 80892^2 + 38556^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 28576660 + ... + 28576940.

Almost surely, 2^8030080800 is an apocalyptic number.

8030080800 is a gapful number since it is divisible by the number (80) 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 8030080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156013273).

8030080800 is an abundant number, since it is smaller than the sum of its proper divisors (26281945746).

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

8030080800 is a wasteful number, since it uses less digits than its factorization.

8030080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

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

The square root of 8030080800 is about 89610.7181089405. The cubic root of 8030080800 is about 2002.5035980241.

The spelling of 8030080800 in words is "eight billion, thirty million, eighty thousand, eight hundred".