711342240 has 192 divisors, whose sum is σ = 2582544384. Its totient is φ = 161215488.

The previous prime is 711342221. The next prime is 711342253. The reversal of 711342240 is 42243117.

It is a happy number.

It is a Cunningham number, because it is equal to 26671²-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 711342240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425887 + ... + 427553.

It is an arithmetic number, because the mean of its divisors is an integer number (13450752).

Almost surely, 2^711342240 is an apocalyptic number.

711342240 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 711342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291272192).

711342240 is an abundant number, since it is smaller than the sum of its proper divisors (1871202144).

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

711342240 is a wasteful number, since it uses less digits than its factorization.

711342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 711342240 is about 26670.9999812530. Note that the first 4 decimals coincide. The cubic root of 711342240 is about 892.6739596098.

Adding to 711342240 its reverse (42243117), we get a palindrome (753585357).

The spelling of 711342240 in words is "seven hundred eleven million, three hundred forty-two thousand, two hundred forty".