8095780224 has 576 divisors, whose sum is σ = 29423197440. Its totient is φ = 2170063872.

The previous prime is 8095780223. The next prime is 8095780241. The reversal of 8095780224 is 4220875908.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 8095780224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8095780223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78599757 + ... + 78599859.

It is an arithmetic number, because the mean of its divisors is an integer number (51081940).

Almost surely, 2^8095780224 is an apocalyptic number.

8095780224 is a gapful number since it is divisible by the number (84) 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 8095780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711598720).

8095780224 is an abundant number, since it is smaller than the sum of its proper divisors (21327417216).

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

8095780224 is a wasteful number, since it uses less digits than its factorization.

8095780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8095780224 is about 89976.5537459621. The cubic root of 8095780224 is about 2007.9500418781.

The spelling of 8095780224 in words is "eight billion, ninety-five million, seven hundred eighty thousand, two hundred twenty-four".