1160000800 has 144 divisors (see below), whose sum is σ = 3251041920. Its totient is φ = 395919360.

The previous prime is 1160000773. The next prime is 1160000819. The reversal of 1160000800 is 80000611.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010112 + ... + 2010688.

It is an arithmetic number, because the mean of its divisors is an integer number (22576680).

Almost surely, 2^1160000800 is an apocalyptic number.

1160000800 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 1160000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625520960).

1160000800 is an abundant number, since it is smaller than the sum of its proper divisors (2091041120).

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

1160000800 is a wasteful number, since it uses less digits than its factorization.

1160000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1160000800 is about 34058.7844762552. The cubic root of 1160000800 is about 1050.7178160428.

The spelling of 1160000800 in words is "one billion, one hundred sixty million, eight hundred", and thus it is an aban number.