741180960 has 432 divisors, whose sum is σ = 2914611336. Its totient is φ = 170459136.

The previous prime is 741180949. The next prime is 741180967. The reversal of 741180960 is 69081147.

It can be written as a sum of positive squares in 12 ways, for example, as 149523984 + 591656976 = 12228^2 + 24324^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741180967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5410012 + ... + 5410148.

Almost surely, 2^741180960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457305668).

741180960 is an abundant number, since it is smaller than the sum of its proper divisors (2173430376).

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

741180960 is a wasteful number, since it uses less digits than its factorization.

741180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 741180960 is about 27224.6388405797. The cubic root of 741180960 is about 904.9850775395.

The spelling of 741180960 in words is "seven hundred forty-one million, one hundred eighty thousand, nine hundred sixty".