705375040 has 112 divisors (see below), whose sum is σ = 1764426240. Its totient is φ = 268083200.

The previous prime is 705375001. The next prime is 705375043. The reversal of 705375040 is 40573507.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 705374993 and 705375011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705375043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758840 + ... + 1759240.

Almost surely, 2^705375040 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 705375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882213120).

705375040 is an abundant number, since it is smaller than the sum of its proper divisors (1059051200).

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

705375040 is a wasteful number, since it uses less digits than its factorization.

705375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The square root of 705375040 is about 26558.8975674820. The cubic root of 705375040 is about 890.1708378864.

The spelling of 705375040 in words is "seven hundred five million, three hundred seventy-five thousand, forty".