7879188240 has 720 divisors, whose sum is σ = 34136743680. Its totient is φ = 1610219520.

The previous prime is 7879188209. The next prime is 7879188259. The reversal of 7879188240 is 428819787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 30658192 + ... + 30658448.

It is an arithmetic number, because the mean of its divisors is an integer number (47412144).

Almost surely, 2^7879188240 is an apocalyptic number.

7879188240 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 7879188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068371840).

7879188240 is an abundant number, since it is smaller than the sum of its proper divisors (26257555440).

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

7879188240 is a wasteful number, since it uses less digits than its factorization.

7879188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 7879188240 is about 88764.7916687692. The cubic root of 7879188240 is about 1989.8812450703.

The spelling of 7879188240 in words is "seven billion, eight hundred seventy-nine million, one hundred eighty-eight thousand, two hundred forty".