808880160 has 288 divisors, whose sum is σ = 2952089280. Its totient is φ = 185518080.

The previous prime is 808880153. The next prime is 808880167. The reversal of 808880160 is 61088808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (808880153) and next prime (808880167).

It is a super-2 number, since 2×808880160² = 1308574226483251200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (808880167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103154 + ... + 1103886.

It is an arithmetic number, because the mean of its divisors is an integer number (10250310).

Almost surely, 2^808880160 is an apocalyptic number.

808880160 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 808880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476044640).

808880160 is an abundant number, since it is smaller than the sum of its proper divisors (2143209120).

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

808880160 is a wasteful number, since it uses less digits than its factorization.

808880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 808880160 is about 28440.8185536211. The cubic root of 808880160 is about 931.7399730181.

The spelling of 808880160 in words is "eight hundred eight million, eight hundred eighty thousand, one hundred sixty".