1178885760 has 256 divisors, whose sum is σ = 4108527360. Its totient is φ = 285769728.

The previous prime is 1178885753. The next prime is 1178885767. The reversal of 1178885760 is 675888711.

1178885760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1178885753) and next prime (1178885767).

It is not an unprimeable number, because it can be changed into a prime (1178885767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821757 + ... + 1822403.

It is an arithmetic number, because the mean of its divisors is an integer number (16048935).

Almost surely, 2^1178885760 is an apocalyptic number.

1178885760 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 1178885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054263680).

1178885760 is an abundant number, since it is smaller than the sum of its proper divisors (2929641600).

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

1178885760 is a wasteful number, since it uses less digits than its factorization.

1178885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 51.

The square root of 1178885760 is about 34334.9058539557. The cubic root of 1178885760 is about 1056.3890898613.

The spelling of 1178885760 in words is "one billion, one hundred seventy-eight million, eight hundred eighty-five thousand, seven hundred sixty".