1178781120 has 448 divisors, whose sum is σ = 4623206400. Its totient is φ = 280350720.

The previous prime is 1178781061. The next prime is 1178781137. The reversal of 1178781120 is 211878711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7508082 + ... + 7508238.

Almost surely, 2^1178781120 is an apocalyptic number.

1178781120 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 1178781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311603200).

1178781120 is an abundant number, since it is smaller than the sum of its proper divisors (3444425280).

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

1178781120 is a wasteful number, since it uses less digits than its factorization.

1178781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 36.

The square root of 1178781120 is about 34333.3820064380. The cubic root of 1178781120 is about 1056.3578332774.

The spelling of 1178781120 in words is "one billion, one hundred seventy-eight million, seven hundred eighty-one thousand, one hundred twenty".