7798986240 has 480 divisors, whose sum is σ = 27501677280. Its totient is φ = 1882718208.

The previous prime is 7798986229. The next prime is 7798986253. The reversal of 7798986240 is 426898977.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80401872 + ... + 80401968.

It is an arithmetic number, because the mean of its divisors is an integer number (57295161).

Almost surely, 2^7798986240 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 7798986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750838640).

7798986240 is an abundant number, since it is smaller than the sum of its proper divisors (19702691040).

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

7798986240 is a wasteful number, since it uses less digits than its factorization.

7798986240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The square root of 7798986240 is about 88311.8691909530. The cubic root of 7798986240 is about 1983.1065609578.

The spelling of 7798986240 in words is "seven billion, seven hundred ninety-eight million, nine hundred eighty-six thousand, two hundred forty".