8092840000 has 210 divisors, whose sum is σ = 23349611670. Its totient is φ = 2774016000.

The previous prime is 8092839977. The next prime is 8092840001. The reversal of 8092840000 is 482908.

It can be written as a sum of positive squares in 5 ways, for example, as 2962842624 + 5129997376 = 54432^2 + 71624^2 .

It is not an unprimeable number, because it can be changed into a prime (8092840001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1957936 + ... + 1962064.

It is an arithmetic number, because the mean of its divisors is an integer number (111188627).

Almost surely, 2^8092840000 is an apocalyptic number.

8092840000 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 8092840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674805835).

8092840000 is an abundant number, since it is smaller than the sum of its proper divisors (15256771670).

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

8092840000 is an equidigital number, since it uses as much as digits as its factorization.

8092840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8092840000 is about 89960.2134279371. The cubic root of 8092840000 is about 2007.7069301334.

The spelling of 8092840000 in words is "eight billion, ninety-two million, eight hundred forty thousand".