739830240 has 192 divisors, whose sum is σ = 2653197120. Its totient is φ = 192430080.

The previous prime is 739830239. The next prime is 739830241. The reversal of 739830240 is 42038937.

It is an interprime number because it is at equal distance from previous prime (739830239) and next prime (739830241).

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

It is a junction number, because it is equal to n+sod(n) for n = 739830195 and 739830204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739830241) 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 31 ways as a sum of consecutive naturals, for example, 175032 + ... + 179208.

It is an arithmetic number, because the mean of its divisors is an integer number (13818735).

Almost surely, 2^739830240 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 739830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326598560).

739830240 is an abundant number, since it is smaller than the sum of its proper divisors (1913366880).

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

739830240 is a wasteful number, since it uses less digits than its factorization.

739830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 739830240 is about 27199.8205876436. The cubic root of 739830240 is about 904.4349983128.

The spelling of 739830240 in words is "seven hundred thirty-nine million, eight hundred thirty thousand, two hundred forty".