10807808 has 80 divisors (see below), whose sum is σ = 25043040. Its totient is φ = 4608000.

The previous prime is 10807777. The next prime is 10807817. The reversal of 10807808 is 80870801.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106958 + ... + 107058.

It is an arithmetic number, because the mean of its divisors is an integer number (313038).

Almost surely, 2^10807808 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 10807808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521520).

10807808 is an abundant number, since it is smaller than the sum of its proper divisors (14235232).

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

10807808 is a wasteful number, since it uses less digits than its factorization.

10807808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 10807808 is about 3287.5230797669. The cubic root of 10807808 is about 221.0951454531.

It can be divided in two parts, 1080 and 7808, that added together give a palindrome (8888).

The spelling of 10807808 in words is "ten million, eight hundred seven thousand, eight hundred eight".