1187278080 has 144 divisors (see below), whose sum is σ = 3991686720. Its totient is φ = 299925504.

The previous prime is 1187278073. The next prime is 1187278087. The reversal of 1187278080 is 808727811.

It is an interprime number because it is at equal distance from previous prime (1187278073) and next prime (1187278087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187278087) 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 15 ways as a sum of consecutive naturals, for example, 64824 + ... + 81096.

Almost surely, 2^1187278080 is an apocalyptic number.

1187278080 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 1187278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995843360).

1187278080 is an abundant number, since it is smaller than the sum of its proper divisors (2804408640).

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

1187278080 is a wasteful number, since it uses less digits than its factorization.

1187278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16302 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The square root of 1187278080 is about 34456.9017759868. The cubic root of 1187278080 is about 1058.8899260614.

The spelling of 1187278080 in words is "one billion, one hundred eighty-seven million, two hundred seventy-eight thousand, eighty".