8073982800 has 600 divisors, whose sum is σ = 32330769240. Its totient is φ = 1916006400.

The previous prime is 8073982799. The next prime is 8073982817. The reversal of 8073982800 is 82893708.

It can be written as a sum of positive squares in 12 ways, for example, as 2282163984 + 5791818816 = 47772^2 + 76104^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 12214470 + ... + 12215130.

Almost surely, 2^8073982800 is an apocalyptic number.

8073982800 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 8073982800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165384620).

8073982800 is an abundant number, since it is smaller than the sum of its proper divisors (24256786440).

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

8073982800 is a wasteful number, since it uses less digits than its factorization.

8073982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8073982800 is about 89855.3437476036. The cubic root of 8073982800 is about 2006.1463253265.

The spelling of 8073982800 in words is "eight billion, seventy-three million, nine hundred eighty-two thousand, eight hundred".