11276800 has 60 divisors (see below), whose sum is σ = 27970866. Its totient is φ = 4505600.

The previous prime is 11276791. The next prime is 11276801. The reversal of 11276800 is 867211.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 4804864 = 2544^2 + 2192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11276801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12360 + ... + 13240.

Almost surely, 2^11276800 is an apocalyptic number.

11276800 is a gapful number since it is divisible by the number (10) 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 11276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985433).

11276800 is an abundant number, since it is smaller than the sum of its proper divisors (16694066).

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

11276800 is an frugal number, since it uses more digits than its factorization.

11276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 11276800 is about 3358.0946978905. The cubic root of 11276800 is about 224.2480245925.

The spelling of 11276800 in words is "eleven million, two hundred seventy-six thousand, eight hundred".