838480800 has 144 divisors (see below), whose sum is σ = 2889940032. Its totient is φ = 210432000.

The previous prime is 838480793. The next prime is 838480823. The reversal of 838480800 is 8084838.

838480800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30525 + ... + 51075.

It is an arithmetic number, because the mean of its divisors is an integer number (20069028).

Almost surely, 2^838480800 is an apocalyptic number.

838480800 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 838480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444970016).

838480800 is an abundant number, since it is smaller than the sum of its proper divisors (2051459232).

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

838480800 is a wasteful number, since it uses less digits than its factorization.

838480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20591 (or 20578 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 838480800 is about 28956.5329416351. The cubic root of 838480800 is about 942.9696336989.

The spelling of 838480800 in words is "eight hundred thirty-eight million, four hundred eighty thousand, eight hundred".