705624768 has 84 divisors (see below), whose sum is σ = 2041626600. Its totient is φ = 233010048.

The previous prime is 705624757. The next prime is 705624769. The reversal of 705624768 is 867426507.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (705624769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6594571 + ... + 6594677.

Almost surely, 2^705624768 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 705624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020813300).

705624768 is an abundant number, since it is smaller than the sum of its proper divisors (1336001832).

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

705624768 is an frugal number, since it uses more digits than its factorization.

705624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 705624768 is about 26563.5985514011. The cubic root of 705624768 is about 890.2758762662.

The spelling of 705624768 in words is "seven hundred five million, six hundred twenty-four thousand, seven hundred sixty-eight".