10775808 has 72 divisors (see below), whose sum is σ = 31886400. Its totient is φ = 3589632.

The previous prime is 10775803. The next prime is 10775861. The reversal of 10775808 is 80857701.

10775808 is a `hidden beast` number, since 1 + 0 + 77 + 580 + 8 = 666.

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

It is a super-2 number, since 2×10775808² = 232236076105728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6133 + ... + 7691.

Almost surely, 2^10775808 is an apocalyptic number.

10775808 is a gapful number since it is divisible by the number (18) 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 10775808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15943200).

10775808 is an abundant number, since it is smaller than the sum of its proper divisors (21110592).

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

10775808 is an equidigital number, since it uses as much as digits as its factorization.

10775808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 10775808 is about 3282.6525859433. The cubic root of 10775808 is about 220.8767219204.

The spelling of 10775808 in words is "ten million, seven hundred seventy-five thousand, eight hundred eight".