741340800 has 144 divisors (see below), whose sum is σ = 2645376630. Its totient is φ = 197683200.

The previous prime is 741340781. The next prime is 741340849. The reversal of 741340800 is 8043147.

741340800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 614643264 + 126697536 = 24792^2 + 11256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15930 + ... + 41670.

Almost surely, 2^741340800 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 741340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322688315).

741340800 is an abundant number, since it is smaller than the sum of its proper divisors (1904035830).

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

741340800 is a wasteful number, since it uses less digits than its factorization.

741340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25771 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 741340800 is about 27227.5742584609. The cubic root of 741340800 is about 905.0501279682.

Adding to 741340800 its reverse (8043147), we get a palindrome (749383947).

The spelling of 741340800 in words is "seven hundred forty-one million, three hundred forty thousand, eight hundred".