808829280 has 288 divisors, whose sum is σ = 3293952480. Its totient is φ = 184826880.

The previous prime is 808829279. The next prime is 808829299. The reversal of 808829280 is 82928808.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 209770 + ... + 213590.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2^808829280 is an apocalyptic number.

808829280 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 808829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646976240).

808829280 is an abundant number, since it is smaller than the sum of its proper divisors (2485123200).

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

808829280 is a wasteful number, since it uses less digits than its factorization.

808829280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 808829280 is about 28439.9240505315. The cubic root of 808829280 is about 931.7204365750.

The spelling of 808829280 in words is "eight hundred eight million, eight hundred twenty-nine thousand, two hundred eighty".