1163777680 has 80 divisors (see below), whose sum is σ = 2954029680. Its totient is φ = 423788544.

The previous prime is 1163777623. The next prime is 1163777717. The reversal of 1163777680 is 867773611.

It can be written as a sum of positive squares in 8 ways, for example, as 238887936 + 924889744 = 15456^2 + 30412^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1163777680.

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, 68256 + ... + 83584.

It is an arithmetic number, because the mean of its divisors is an integer number (36925371).

Almost surely, 2^1163777680 is an apocalyptic number.

1163777680 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 1163777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477014840).

1163777680 is an abundant number, since it is smaller than the sum of its proper divisors (1790252000).

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

1163777680 is a wasteful number, since it uses less digits than its factorization.

1163777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 1163777680 is about 34114.1859055731. The cubic root of 1163777680 is about 1051.8569347682.

The spelling of 1163777680 in words is "one billion, one hundred sixty-three million, seven hundred seventy-seven thousand, six hundred eighty".