1161077760 has 352 divisors, whose sum is σ = 4256449920. Its totient is φ = 299925504.

The previous prime is 1161077741. The next prime is 1161077777. The reversal of 1161077760 is 677701611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5114767 + ... + 5114993.

Almost surely, 2^1161077760 is an apocalyptic number.

1161077760 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 1161077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128224960).

1161077760 is an abundant number, since it is smaller than the sum of its proper divisors (3095372160).

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

1161077760 is a wasteful number, since it uses less digits than its factorization.

1161077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The square root of 1161077760 is about 34074.5911200707. The cubic root of 1161077760 is about 1051.0428822117.

The spelling of 1161077760 in words is "one billion, one hundred sixty-one million, seventy-seven thousand, seven hundred sixty".