848320000 has 200 divisors, whose sum is σ = 2320188552. Its totient is φ = 307200000.

The previous prime is 848319959. The next prime is 848320001. The reversal of 848320000 is 23848.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (848320001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3519880 + ... + 3520120.

Almost surely, 2^848320000 is an apocalyptic number.

848320000 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 848320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160094276).

848320000 is an abundant number, since it is smaller than the sum of its proper divisors (1471868552).

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

848320000 is an equidigital number, since it uses as much as digits as its factorization.

848320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 848320000 is about 29125.9334614360. The cubic root of 848320000 is about 946.6437429702.

Adding to 848320000 its reverse (23848), we get a palindrome (848343848).

The spelling of 848320000 in words is "eight hundred forty-eight million, three hundred twenty thousand".