731242080 has 240 divisors, whose sum is σ = 2733302880. Its totient is φ = 183472128.

The previous prime is 731242079. The next prime is 731242081. The reversal of 731242080 is 80242137.

It is an interprime number because it is at equal distance from previous prime (731242079) and next prime (731242081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731242081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218661 + ... + 221979.

It is an arithmetic number, because the mean of its divisors is an integer number (11388762).

Almost surely, 2^731242080 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 731242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366651440).

731242080 is an abundant number, since it is smaller than the sum of its proper divisors (2002060800).

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

731242080 is a wasteful number, since it uses less digits than its factorization.

731242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3346 counting only the distinct ones).

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

The square root of 731242080 is about 27041.4881247316. The cubic root of 731242080 is about 900.9217223754.

The spelling of 731242080 in words is "seven hundred thirty-one million, two hundred forty-two thousand, eighty".