7999302240 has 288 divisors, whose sum is σ = 28075372416. Its totient is φ = 2073047040.

The previous prime is 7999302239. The next prime is 7999302263. The reversal of 7999302240 is 422039997.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12249754 + ... + 12250406.

It is an arithmetic number, because the mean of its divisors is an integer number (97483932).

Almost surely, 2^7999302240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7999302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037686208).

7999302240 is an abundant number, since it is smaller than the sum of its proper divisors (20076070176).

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

7999302240 is a wasteful number, since it uses less digits than its factorization.

7999302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 7999302240 is about 89438.8184179554. The cubic root of 7999302240 is about 1999.9418516427.

It can be divided in two parts, 799 and 9302240, that added together give a palindrome (9303039).

The spelling of 7999302240 in words is "seven billion, nine hundred ninety-nine million, three hundred two thousand, two hundred forty".