11278800 has 180 divisors, whose sum is σ = 42326284. Its totient is φ = 2764800.

The previous prime is 11278789. The next prime is 11278801. The reversal of 11278800 is 887211.

It can be written as a sum of positive squares in 6 ways, for example, as 467856 + 10810944 = 684^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×11278800² = 254422658880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11278801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46680 + ... + 46920.

Almost surely, 2^11278800 is an apocalyptic number.

11278800 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 11278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21163142).

11278800 is an abundant number, since it is smaller than the sum of its proper divisors (31047484).

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

11278800 is a wasteful number, since it uses less digits than its factorization.

11278800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11278800 is about 3358.3924725976. The cubic root of 11278800 is about 224.2612809991.

The spelling of 11278800 in words is "eleven million, two hundred seventy-eight thousand, eight hundred".