7984005120 has 1080 divisors, whose sum is σ = 36711884664. Its totient is φ = 1585446912.

The previous prime is 7984005101. The next prime is 7984005121. The reversal of 7984005120 is 215004897.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 7398752256 = 24192^2 + 86016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7984005121) 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, 469647352 + ... + 469647368.

Almost surely, 2^7984005120 is an apocalyptic number.

7984005120 is a gapful number since it is divisible by the number (70) 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 7984005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355942332).

7984005120 is an abundant number, since it is smaller than the sum of its proper divisors (28727879544).

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

7984005120 is a wasteful number, since it uses less digits than its factorization.

7984005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 7984005120 is about 89353.2602650849. The cubic root of 7984005120 is about 1998.6662040252. Note that the first 3 decimals are identical.

The spelling of 7984005120 in words is "seven billion, nine hundred eighty-four million, five thousand, one hundred twenty".