808336320 has 224 divisors, whose sum is σ = 2869606656. Its totient is φ = 191078400.

The previous prime is 808336313. The next prime is 808336327. The reversal of 808336320 is 23633808.

It is an interprime number because it is at equal distance from previous prime (808336313) and next prime (808336327).

It is a super-2 number, since 2×808336320² = 1306815212462284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808336327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432027 + ... + 433893.

It is an arithmetic number, because the mean of its divisors is an integer number (12810744).

Almost surely, 2^808336320 is an apocalyptic number.

808336320 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 808336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434803328).

808336320 is an abundant number, since it is smaller than the sum of its proper divisors (2061270336).

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

808336320 is a wasteful number, since it uses less digits than its factorization.

808336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 808336320 is about 28431.2560397883. The cubic root of 808336320 is about 931.5311118065.

It can be divided in two parts, 80833 and 6320, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 808336320 in words is "eight hundred eight million, three hundred thirty-six thousand, three hundred twenty".