808038 has 72 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 205920.

The previous prime is 808021. The next prime is 808039. The reversal of 808038 is 830808.

808038 = 62² + 63² + ... + 138².

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808039) by changing a digit.

808038 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 35 ways as a sum of consecutive naturals, for example, 15220 + ... + 15272.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁸⁰⁸⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

808038 is an abundant number, since it is smaller than the sum of its proper divisors (1432746).

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

808038 is a wasteful number, since it uses less digits than its factorization.

808038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

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

The square root of 808038 is about 898.9093391438. The cubic root of 808038 is about 93.1416502517.

It can be divided in two parts, 8080 and 38, that added together give a palindrome (8118).

The spelling of 808038 in words is "eight hundred eight thousand, thirty-eight".