742659840 has 720 divisors, whose sum is σ = 3116282400. Its totient is φ = 167215104.

The previous prime is 742659823. The next prime is 742659881. The reversal of 742659840 is 48956247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25608946 + ... + 25608974.

It is an arithmetic number, because the mean of its divisors is an integer number (4328170).

Almost surely, 2^742659840 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 742659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558141200).

742659840 is an abundant number, since it is smaller than the sum of its proper divisors (2373622560).

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

742659840 is a wasteful number, since it uses less digits than its factorization.

742659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 742659840 is about 27251.7859965177. The cubic root of 742659840 is about 905.5865838931.

The spelling of 742659840 in words is "seven hundred forty-two million, six hundred fifty-nine thousand, eight hundred forty".