8007820800 has 480 divisors, whose sum is σ = 31240095744. Its totient is φ = 1771315200.

The previous prime is 8007820759. The next prime is 8007820801. The reversal of 8007820800 is 80287008.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3100 × 868 × 2976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007820801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258316785 + ... + 258316815.

Almost surely, 2^8007820800 is an apocalyptic number.

8007820800 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 8007820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620047872).

8007820800 is an abundant number, since it is smaller than the sum of its proper divisors (23232274944).

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

8007820800 is an frugal number, since it uses more digits than its factorization.

8007820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 8007820800 is about 89486.4280212368. The cubic root of 8007820800 is about 2000.6515210704.

The spelling of 8007820800 in words is "eight billion, seven million, eight hundred twenty thousand, eight hundred".