705756416 has 72 divisors (see below), whose sum is σ = 1468932864. Its totient is φ = 338042880.

The previous prime is 705756409. The next prime is 705756419. The reversal of 705756416 is 614657507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705756419) 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 7 ways as a sum of consecutive naturals, for example, 896375 + ... + 897161.

Almost surely, 2^705756416 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 705756416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734466432).

705756416 is an abundant number, since it is smaller than the sum of its proper divisors (763176448).

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

705756416 is a wasteful number, since it uses less digits than its factorization.

705756416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 705756416 is about 26566.0764133509. The cubic root of 705756416 is about 890.3312389064.

The spelling of 705756416 in words is "seven hundred five million, seven hundred fifty-six thousand, four hundred sixteen".