808424064 has 384 divisors, whose sum is σ = 2851430400. Its totient is φ = 223202304.

The previous prime is 808424059. The next prime is 808424129. The reversal of 808424064 is 460424808.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 10233177 + ... + 10233255.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^808424064 is an apocalyptic number.

808424064 is a gapful number since it is divisible by the number (84) 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 808424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425715200).

808424064 is an abundant number, since it is smaller than the sum of its proper divisors (2043006336).

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

808424064 is an equidigital number, since it uses as much as digits as its factorization.

808424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 808424064 is about 28432.7990883768. The cubic root of 808424064 is about 931.5648161391.

The spelling of 808424064 in words is "eight hundred eight million, four hundred twenty-four thousand, sixty-four".