8313715200 has 480 divisors, whose sum is σ = 31747503744. Its totient is φ = 1878589440.

The previous prime is 8313715177. The next prime is 8313715219. The reversal of 8313715200 is 25173138.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8313715200² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 42201502 + ... + 42201698.

Almost surely, 2^8313715200 is an apocalyptic number.

8313715200 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 8313715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873751872).

8313715200 is an abundant number, since it is smaller than the sum of its proper divisors (23433788544).

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

8313715200 is a wasteful number, since it uses less digits than its factorization.

8313715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 8313715200 is about 91179.5766605658. The cubic root of 8313715200 is about 2025.8084624321.

Adding to 8313715200 its reverse (25173138), we get a palindrome (8338888338).

It can be divided in two parts, 831371 and 5200, that added together give a triangular number (836571 = T₁₂₉₃).

The spelling of 8313715200 in words is "eight billion, three hundred thirteen million, seven hundred fifteen thousand, two hundred".