8080819200 has 462 divisors, whose sum is σ = 30101589434. Its totient is φ = 2149908480.

The previous prime is 8080819193. The next prime is 8080819207. The reversal of 8080819200 is 29180808.

It is an interprime number because it is at equal distance from previous prime (8080819193) and next prime (8080819207).

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 8074100736 = 2592^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8080819207) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662184 + ... + 18662616.

Almost surely, 2^8080819200 is an apocalyptic number.

8080819200 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 8080819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050794717).

8080819200 is an abundant number, since it is smaller than the sum of its proper divisors (22020770234).

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

8080819200 is an equidigital number, since it uses as much as digits as its factorization.

8080819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8080819200 is about 89893.3768416784. The cubic root of 8080819200 is about 2006.7123801072.

It can be divided in two parts, 808081 and 9200, that added together give a triangular number (817281 = T₁₂₇₈).

The spelling of 8080819200 in words is "eight billion, eighty million, eight hundred nineteen thousand, two hundred".