1150000800 has 576 divisors, whose sum is σ = 4409717760. Its totient is φ = 258048000.

The previous prime is 1150000799. The next prime is 1150000807. The reversal of 1150000800 is 80000511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1150000800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150000807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28048780 + ... + 28048820.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2^1150000800 is an apocalyptic number.

1150000800 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 1150000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204858880).

1150000800 is an abundant number, since it is smaller than the sum of its proper divisors (3259716960).

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

1150000800 is a wasteful number, since it uses less digits than its factorization.

1150000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1150000800 is about 33911.6617109808. The cubic root of 1150000800 is about 1047.6897961141.

The spelling of 1150000800 in words is "one billion, one hundred fifty million, eight hundred", and thus it is an aban number.