705576820 has 48 divisors (see below), whose sum is σ = 1599228288. Its totient is φ = 259943040.

The previous prime is 705576803. The next prime is 705576827. The reversal of 705576820 is 28675507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705576827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124897 + ... + 130423.

It is an arithmetic number, because the mean of its divisors is an integer number (33317256).

Almost surely, 2^705576820 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 705576820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799614144).

705576820 is an abundant number, since it is smaller than the sum of its proper divisors (893651468).

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

705576820 is a wasteful number, since it uses less digits than its factorization.

705576820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 705576820 is about 26562.6960228061. The cubic root of 705576820 is about 890.2557107257.

It can be divided in two parts, 70557 and 6820, that added together give a palindrome (77377).

The spelling of 705576820 in words is "seven hundred five million, five hundred seventy-six thousand, eight hundred twenty".