8378838720 has 896 divisors, whose sum is σ = 36049305600. Its totient is φ = 1791590400.

The previous prime is 8378838719. The next prime is 8378838791. The reversal of 8378838720 is 278388738.

It is a happy number.

It is a super-4 number, since 4×8378838720⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76870026 + ... + 76870134.

It is an arithmetic number, because the mean of its divisors is an integer number (40233600).

Almost surely, 2^8378838720 is an apocalyptic number.

8378838720 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 8378838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024652800).

8378838720 is an abundant number, since it is smaller than the sum of its proper divisors (27670466880).

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

8378838720 is a wasteful number, since it uses less digits than its factorization.

8378838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 8378838720 is about 91535.9968536969. The cubic root of 8378838720 is about 2031.0842743908.

The spelling of 8378838720 in words is "eight billion, three hundred seventy-eight million, eight hundred thirty-eight thousand, seven hundred twenty".