1157302080 has 588 divisors, whose sum is σ = 4652389476. Its totient is φ = 273715200.

The previous prime is 1157302067. The next prime is 1157302087. The reversal of 1157302080 is 802037511.

1157302080 is a `hidden beast` number, since 11 + 573 + 0 + 2 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 954068544 = 14256^2 + 30888^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157302087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28226860 + ... + 28226900.

It is an arithmetic number, because the mean of its divisors is an integer number (7912227).

Almost surely, 2^1157302080 is an apocalyptic number.

1157302080 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 1157302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326194738).

1157302080 is an abundant number, since it is smaller than the sum of its proper divisors (3495087396).

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

1157302080 is an equidigital number, since it uses as much as digits as its factorization.

1157302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1157302080 is about 34019.1428463446. The cubic root of 1157302080 is about 1049.9023582673.

Adding to 1157302080 its reverse (802037511), we get a palindrome (1959339591).

The spelling of 1157302080 in words is "one billion, one hundred fifty-seven million, three hundred two thousand, eighty".