8374878720 has 240 divisors, whose sum is σ = 31236797592. Its totient is φ = 2061434880.

The previous prime is 8374878719. The next prime is 8374878739. The reversal of 8374878720 is 278784738.

It is a happy number.

8374878720 is a `hidden beast` number, since 83 + 7 + 487 + 87 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4069419264 + 4305459456 = 63792^2 + 65616^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 285540 + ... + 313500.

Almost surely, 2^8374878720 is an apocalyptic number.

8374878720 is a gapful number since it is divisible by the number (80) 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 8374878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618398796).

8374878720 is an abundant number, since it is smaller than the sum of its proper divisors (22861918872).

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

8374878720 is a wasteful number, since it uses less digits than its factorization.

8374878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28003 (or 27984 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 8374878720 is about 91514.3634627920. The cubic root of 8374878720 is about 2030.7642474978.

The spelling of 8374878720 in words is "eight billion, three hundred seventy-four million, eight hundred seventy-eight thousand, seven hundred twenty".