1179761760 has 480 divisors, whose sum is σ = 4467687840. Its totient is φ = 292626432.

The previous prime is 1179761753. The next prime is 1179761771. The reversal of 1179761760 is 671679711.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16161084 + ... + 16161156.

It is an arithmetic number, because the mean of its divisors is an integer number (9307683).

Almost surely, 2^1179761760 is an apocalyptic number.

1179761760 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 1179761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233843920).

1179761760 is an abundant number, since it is smaller than the sum of its proper divisors (3287926080).

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

1179761760 is a wasteful number, since it uses less digits than its factorization.

1179761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The square root of 1179761760 is about 34347.6601823181. The cubic root of 1179761760 is about 1056.6506836916.

The spelling of 1179761760 in words is "one billion, one hundred seventy-nine million, seven hundred sixty-one thousand, seven hundred sixty".