718734240 has 288 divisors, whose sum is σ = 2832350976. Its totient is φ = 162570240.

The previous prime is 718734229. The next prime is 718734253. The reversal of 718734240 is 42437817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 718734195 and 718734204.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1138725 + ... + 1139355.

It is an arithmetic number, because the mean of its divisors is an integer number (9834552).

Almost surely, 2^718734240 is an apocalyptic number.

718734240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 718734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416175488).

718734240 is an abundant number, since it is smaller than the sum of its proper divisors (2113616736).

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

718734240 is a wasteful number, since it uses less digits than its factorization.

718734240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 718734240 is about 26809.2193097822. The cubic root of 718734240 is about 895.7554205949.

The spelling of 718734240 in words is "seven hundred eighteen million, seven hundred thirty-four thousand, two hundred forty".