1157760 has 128 divisors (see below), whose sum is σ = 4161600. Its totient is φ = 304128.

The previous prime is 1157759. The next prime is 1157771. The reversal of 1157760 is 677511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17247 + ... + 17313.

2^1157760 is an apocalyptic number.

1157760 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 1157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080800).

1157760 is an abundant number, since it is smaller than the sum of its proper divisors (3003840).

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

1157760 is an equidigital number, since it uses as much as digits as its factorization.

1157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1157760 is about 1075.9925650301. The cubic root of 1157760 is about 105.0040814740.

Subtracting from 1157760 its reverse (677511), we obtain a square (480249 = 693²).

It can be divided in two parts, 115 and 7760, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 1157760 in words is "one million, one hundred fifty-seven thousand, seven hundred sixty".