8094013200 has 720 divisors, whose sum is σ = 35730379776. Its totient is φ = 1650585600.

The previous prime is 8094013159. The next prime is 8094013217. The reversal of 8094013200 is 23104908.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10155202 + ... + 10155998.

Almost surely, 2^8094013200 is an apocalyptic number.

8094013200 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 8094013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865189888).

8094013200 is an abundant number, since it is smaller than the sum of its proper divisors (27636366576).

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

8094013200 is a wasteful number, since it uses less digits than its factorization.

8094013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8094013200 is about 89966.7338520189. The cubic root of 8094013200 is about 2007.8039429644.

The spelling of 8094013200 in words is "eight billion, ninety-four million, thirteen thousand, two hundred".