266828800 has 132 divisors (see below), whose sum is σ = 756407440. Its totient is φ = 91422720.

The previous prime is 266828777. The next prime is 266828801. The reversal of 266828800 is 8828662.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266828801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178456 + ... + 179944.

Almost surely, 2^266828800 is an apocalyptic number.

266828800 is a gapful number since it is divisible by the number (20) 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 266828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378203720).

266828800 is an abundant number, since it is smaller than the sum of its proper divisors (489578640).

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

266828800 is a wasteful number, since it uses less digits than its factorization.

266828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 266828800 is about 16334.8951634224. The cubic root of 266828800 is about 643.7900116520.

The spelling of 266828800 in words is "two hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred".