705040512 has 128 divisors (see below), whose sum is σ = 2068657920. Its totient is φ = 210969600.

The previous prime is 705040451. The next prime is 705040517. The reversal of 705040512 is 215040507.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×705040512² = 994164247122444288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (705040517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349587 + ... + 351597.

It is an arithmetic number, because the mean of its divisors is an integer number (16161390).

Almost surely, 2^705040512 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 705040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034328960).

705040512 is an abundant number, since it is smaller than the sum of its proper divisors (1363617408).

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

705040512 is a wasteful number, since it uses less digits than its factorization.

705040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 705040512 is about 26552.5989688392. The cubic root of 705040512 is about 890.0300928259.

The spelling of 705040512 in words is "seven hundred five million, forty thousand, five hundred twelve".