808341120 has 320 divisors, whose sum is σ = 2985776640. Its totient is φ = 208189440.

The previous prime is 808341097. The next prime is 808341137. The reversal of 808341120 is 21143808.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1606789 + ... + 1607291.

It is an arithmetic number, because the mean of its divisors is an integer number (9330552).

Almost surely, 2^808341120 is an apocalyptic number.

808341120 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 808341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492888320).

808341120 is an abundant number, since it is smaller than the sum of its proper divisors (2177435520).

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

808341120 is a wasteful number, since it uses less digits than its factorization.

808341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 544 counting only the distinct ones).

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

The square root of 808341120 is about 28431.3404538020. The cubic root of 808341120 is about 931.5329556514.

Adding to 808341120 its reverse (21143808), we get a palindrome (829484928).

The spelling of 808341120 in words is "eight hundred eight million, three hundred forty-one thousand, one hundred twenty".