841680000 has 480 divisors, whose sum is σ = 3479636160. Its totient is φ = 191232000.

The previous prime is 841679989. The next prime is 841680011. The reversal of 841680000 is 86148.

It is an interprime number because it is at equal distance from previous prime (841679989) and next prime (841680011).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039917 + ... + 5040083.

It is an arithmetic number, because the mean of its divisors is an integer number (7249242).

Almost surely, 2^841680000 is an apocalyptic number.

841680000 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 841680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739818080).

841680000 is an abundant number, since it is smaller than the sum of its proper divisors (2637956160).

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

841680000 is a wasteful number, since it uses less digits than its factorization.

841680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 841680000 is about 29011.7217689678. The cubic root of 841680000 is about 944.1674030421.

The spelling of 841680000 in words is "eight hundred forty-one million, six hundred eighty thousand".