808073280 has 448 divisors, whose sum is σ = 3370844160. Its totient is φ = 178329600.

The previous prime is 808073269. The next prime is 808073297. The reversal of 808073280 is 82370808.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1874665 + ... + 1875095.

Almost surely, 2^808073280 is an apocalyptic number.

808073280 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 808073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685422080).

808073280 is an abundant number, since it is smaller than the sum of its proper divisors (2562770880).

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

808073280 is a wasteful number, since it uses less digits than its factorization.

808073280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 808073280 is about 28426.6297685814. The cubic root of 808073280 is about 931.4300579420.

The spelling of 808073280 in words is "eight hundred eight million, seventy-three thousand, two hundred eighty".