7984230912 has 300 divisors, whose sum is σ = 27728629830. Its totient is φ = 2280628224.

The previous prime is 7984230907. The next prime is 7984230937. The reversal of 7984230912 is 2190324897.

It can be written as a sum of positive squares in only one way, i.e., 7690588416 + 293642496 = 87696^2 + 17136^2 .

It is a super-2 number, since 2×7984230912² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2030164 + ... + 2034092.

Almost surely, 2^7984230912 is an apocalyptic number.

7984230912 is a gapful number since it is divisible by the number (72) 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 7984230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864314915).

7984230912 is an abundant number, since it is smaller than the sum of its proper divisors (19744398918).

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

7984230912 is an equidigital number, since it uses as much as digits as its factorization.

7984230912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7984230912 is about 89354.5237355110. The cubic root of 7984230912 is about 1998.6850449694.

The spelling of 7984230912 in words is "seven billion, nine hundred eighty-four million, two hundred thirty thousand, nine hundred twelve".