8080363200 has 504 divisors, whose sum is σ = 32830422528. Its totient is φ = 1703669760.

The previous prime is 8080363171. The next prime is 8080363201. The reversal of 8080363200 is 23630808.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8080363201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5677689 + ... + 5679111.

Almost surely, 2^8080363200 is an apocalyptic number.

8080363200 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 8080363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415211264).

8080363200 is an abundant number, since it is smaller than the sum of its proper divisors (24750059328).

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

8080363200 is a wasteful number, since it uses less digits than its factorization.

8080363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 8080363200 is about 89890.8404677584. The cubic root of 8080363200 is about 2006.6746331892.

The spelling of 8080363200 in words is "eight billion, eighty million, three hundred sixty-three thousand, two hundred".