8010316800 has 330 divisors, whose sum is σ = 29668939608. Its totient is φ = 2135531520.

The previous prime is 8010316771. The next prime is 8010316801. The reversal of 8010316800 is 86130108.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010316801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2071669 + ... + 2075531.

Almost surely, 2^8010316800 is an apocalyptic number.

8010316800 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 8010316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834469804).

8010316800 is an abundant number, since it is smaller than the sum of its proper divisors (21658622808).

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

8010316800 is a wasteful number, since it uses less digits than its factorization.

8010316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8010316800 is about 89500.3731835795. The cubic root of 8010316800 is about 2000.8593640272.

Adding to 8010316800 its reverse (86130108), we get a palindrome (8096446908).

The spelling of 8010316800 in words is "eight billion, ten million, three hundred sixteen thousand, eight hundred".