8313202080 has 288 divisors, whose sum is σ = 29255675904. Its totient is φ = 2148507648.

The previous prime is 8313202019. The next prime is 8313202091. The reversal of 8313202080 is 802023138.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7647297 + ... + 7648383.

It is an arithmetic number, because the mean of its divisors is an integer number (101582208).

Almost surely, 2^8313202080 is an apocalyptic number.

8313202080 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 8313202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627837952).

8313202080 is an abundant number, since it is smaller than the sum of its proper divisors (20942473824).

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

8313202080 is a wasteful number, since it uses less digits than its factorization.

8313202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8313202080 is about 91176.7628291332. The cubic root of 8313202080 is about 2025.7667841451.

The spelling of 8313202080 in words is "eight billion, three hundred thirteen million, two hundred two thousand, eighty".