1180085760 has 480 divisors, whose sum is σ = 4861688832. Its totient is φ = 268738560.

The previous prime is 1180085759. The next prime is 1180085761. The reversal of 1180085760 is 675800811.

1180085760 is a `hidden beast` number, since 1 + 1 + 80 + 0 + 8 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1180085759) and next prime (1180085761).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1180085761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354425 + ... + 4354695.

Almost surely, 2^1180085760 is an apocalyptic number.

1180085760 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 1180085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430844416).

1180085760 is an abundant number, since it is smaller than the sum of its proper divisors (3681603072).

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

1180085760 is an frugal number, since it uses more digits than its factorization.

1180085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1180085760 is about 34352.3763370163. The cubic root of 1180085760 is about 1056.7474047691.

The spelling of 1180085760 in words is "one billion, one hundred eighty million, eighty-five thousand, seven hundred sixty".