1178880 has 72 divisors (see below), whose sum is σ = 3777312. Its totient is φ = 313344.

The previous prime is 1178851. The next prime is 1178887. The reversal of 1178880 is 888711.

1178880 is a nontrivial binomial coefficient, being equal to C(1536, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1178887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3687 + ... + 3993.

2^1178880 is an apocalyptic number.

1178880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1178880 is the 1535-th triangular number and also the 768-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888656).

1178880 is an abundant number, since it is smaller than the sum of its proper divisors (2598432).

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

1178880 is an equidigital number, since it uses as much as digits as its factorization.

1178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The square root of 1178880 is about 1085.7624049487. The cubic root of 1178880 is about 105.6387369363.

The spelling of 1178880 in words is "one million, one hundred seventy-eight thousand, eight hundred eighty".