7838208000 has 832 divisors, whose sum is σ = 33529367040. Its totient is φ = 1791590400.

The previous prime is 7838207999. The next prime is 7838208013. The reversal of 7838208000 is 8028387.

It is a super-2 number, since 2×7838208000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119743997 + ... + 1119744003.

It is an arithmetic number, because the mean of its divisors is an integer number (40299720).

Almost surely, 2^7838208000 is an apocalyptic number.

7838208000 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 7838208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764683520).

7838208000 is an abundant number, since it is smaller than the sum of its proper divisors (25691159040).

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

7838208000 is an frugal number, since it uses more digits than its factorization.

7838208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7838208000 is about 88533.6546178909. The cubic root of 7838208000 is about 1986.4254069944.

The spelling of 7838208000 in words is "seven billion, eight hundred thirty-eight million, two hundred eight thousand".