1123726800 has 360 divisors, whose sum is σ = 4338338400. Its totient is φ = 247618560.

The previous prime is 1123726717. The next prime is 1123726817. The reversal of 1123726800 is 86273211.

1123726800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1704871 + ... + 1705529.

It is an arithmetic number, because the mean of its divisors is an integer number (12050940).

Almost surely, 2^1123726800 is an apocalyptic number.

1123726800 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 1123726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169169200).

1123726800 is an abundant number, since it is smaller than the sum of its proper divisors (3214611600).

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

1123726800 is a wasteful number, since it uses less digits than its factorization.

1123726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1123726800 is about 33522.0345444605. The cubic root of 1123726800 is about 1039.6494133878.

The spelling of 1123726800 in words is "one billion, one hundred twenty-three million, seven hundred twenty-six thousand, eight hundred".