1155000800 has 144 divisors (see below), whose sum is σ = 2895564672. Its totient is φ = 449779200.

The previous prime is 1155000773. The next prime is 1155000809. The reversal of 1155000800 is 80005511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155000809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8816735 + ... + 8816865.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^1155000800 is an apocalyptic number.

1155000800 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 1155000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447782336).

1155000800 is an abundant number, since it is smaller than the sum of its proper divisors (1740563872).

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

1155000800 is a wasteful number, since it uses less digits than its factorization.

1155000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 1155000800 is about 33985.3027057285. The cubic root of 1155000800 is about 1049.2059908031.

The spelling of 1155000800 in words is "one billion, one hundred fifty-five million, eight hundred", and thus it is an aban number.