1167178880 has 128 divisors (see below), whose sum is σ = 3241935360. Its totient is φ = 393523200.

The previous prime is 1167178853. The next prime is 1167178891. The reversal of 1167178880 is 888717611.

1167178880 = 240² + 241² + ... + 1520².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271145 + ... + 275415.

It is an arithmetic number, because the mean of its divisors is an integer number (25327620).

Almost surely, 2^1167178880 is an apocalyptic number.

1167178880 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 1167178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620967680).

1167178880 is an abundant number, since it is smaller than the sum of its proper divisors (2074756480).

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

1167178880 is an equidigital number, since it uses as much as digits as its factorization.

1167178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 47.

The square root of 1167178880 is about 34163.9997658354. Note that the first 3 decimals coincide. The cubic root of 1167178880 is about 1052.8806400970.

The spelling of 1167178880 in words is "one billion, one hundred sixty-seven million, one hundred seventy-eight thousand, eight hundred eighty".