711257040 has 120 divisors (see below), whose sum is σ = 2572413480. Its totient is φ = 175076352.

The previous prime is 711257003. The next prime is 711257093. The reversal of 711257040 is 40752117.

711257040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 696326544 = 3864^2 + 26388^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 711256995 and 711257013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28635 + ... + 47354.

It is an arithmetic number, because the mean of its divisors is an integer number (21436779).

Almost surely, 2^711257040 is an apocalyptic number.

It is an amenable number.

711257040 is an abundant number, since it is smaller than the sum of its proper divisors (1861156440).

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

711257040 is a wasteful number, since it uses less digits than its factorization.

711257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76021 (or 76012 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 711257040 is about 26669.4026929738. The cubic root of 711257040 is about 892.6383186043.

The spelling of 711257040 in words is "seven hundred eleven million, two hundred fifty-seven thousand, forty".