1155070800 has 480 divisors, whose sum is σ = 4671228800. Its totient is φ = 268738560.

The previous prime is 1155070799. The next prime is 1155070801. The reversal of 1155070800 is 80705511.

It is an interprime number because it is at equal distance from previous prime (1155070799) and next prime (1155070801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155070801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2667384 + ... + 2667816.

Almost surely, 2^1155070800 is an apocalyptic number.

1155070800 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 1155070800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335614400).

1155070800 is an abundant number, since it is smaller than the sum of its proper divisors (3516158000).

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

1155070800 is a wasteful number, since it uses less digits than its factorization.

1155070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 1155070800 is about 33986.3325470696. The cubic root of 1155070800 is about 1049.2271864408.

The spelling of 1155070800 in words is "one billion, one hundred fifty-five million, seventy thousand, eight hundred".