1120757760 has 144 divisors (see below), whose sum is σ = 3884664420. Its totient is φ = 298844160.

The previous prime is 1120757747. The next prime is 1120757767. The reversal of 1120757760 is 677570211.

1120757760 is a `hidden beast` number, since 1 + 1 + 20 + 7 + 577 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1071645696 + 49112064 = 32736^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1120757767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86080 + ... + 98240.

Almost surely, 2^1120757760 is an apocalyptic number.

1120757760 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 1120757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942332210).

1120757760 is an abundant number, since it is smaller than the sum of its proper divisors (2763906660).

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

1120757760 is a wasteful number, since it uses less digits than its factorization.

1120757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 1120757760 is about 33477.7203524971. The cubic root of 1120757760 is about 1038.7329737811.

The spelling of 1120757760 in words is "one billion, one hundred twenty million, seven hundred fifty-seven thousand, seven hundred sixty".