808416 has 72 divisors (see below), whose sum is σ = 2633904. Its totient is φ = 230400.

The previous prime is 808399. The next prime is 808417. The reversal of 808416 is 614808.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 808416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808417) by changing a digit.

808416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1816 + ... + 2216.

It is an arithmetic number, because the mean of its divisors is an integer number (36582).

2⁸⁰⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316952).

808416 is an abundant number, since it is smaller than the sum of its proper divisors (1825488).

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

808416 is a wasteful number, since it uses less digits than its factorization.

808416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 808416 is about 899.1195693566. The cubic root of 808416 is about 93.1561718687.

It can be divided in two parts, 8084 and 16, that added together give a square (8100 = 90²).

The spelling of 808416 in words is "eight hundred eight thousand, four hundred sixteen".