808628480 has 216 divisors, whose sum is σ = 2231361216. Its totient is φ = 280023040.

The previous prime is 808628423. The next prime is 808628501. The reversal of 808628480 is 84826808.

It is a super-2 number, since 2×808628480² = 1307760037334220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 3562127 + ... + 3562353.

It is an arithmetic number, because the mean of its divisors is an integer number (10330376).

Almost surely, 2^808628480 is an apocalyptic number.

808628480 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 808628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115680608).

808628480 is an abundant number, since it is smaller than the sum of its proper divisors (1422732736).

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

808628480 is a wasteful number, since it uses less digits than its factorization.

808628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 808628480 is about 28436.3935828719. The cubic root of 808628480 is about 931.6433272052.

The spelling of 808628480 in words is "eight hundred eight million, six hundred twenty-eight thousand, four hundred eighty".