1155407760 has 320 divisors, whose sum is σ = 4474713600. Its totient is φ = 271890432.

The previous prime is 1155407741. The next prime is 1155407761. The reversal of 1155407760 is 677045511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1155407761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644946 + ... + 646734.

It is an arithmetic number, because the mean of its divisors is an integer number (13983480).

Almost surely, 2^1155407760 is an apocalyptic number.

1155407760 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 1155407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237356800).

1155407760 is an abundant number, since it is smaller than the sum of its proper divisors (3319305840).

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

1155407760 is a wasteful number, since it uses less digits than its factorization.

1155407760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1155407760 is about 33991.2894724516. The cubic root of 1155407760 is about 1049.3292042043.

The spelling of 1155407760 in words is "one billion, one hundred fifty-five million, four hundred seven thousand, seven hundred sixty".