741840000 has 320 divisors, whose sum is σ = 2695762080. Its totient is φ = 179200000.

The previous prime is 741839983. The next prime is 741840017. The reversal of 741840000 is 48147.

It is an interprime number because it is at equal distance from previous prime (741839983) and next prime (741840017).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639860 + ... + 2640140.

Almost surely, 2^741840000 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 741840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347881040).

741840000 is an abundant number, since it is smaller than the sum of its proper divisors (1953922080).

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

741840000 is a wasteful number, since it uses less digits than its factorization.

741840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 741840000 is about 27236.7398930195. The cubic root of 741840000 is about 905.2532282839.

Adding to 741840000 its reverse (48147), we get a palindrome (741888147).

The spelling of 741840000 in words is "seven hundred forty-one million, eight hundred forty thousand".