705868020 has 360 divisors, whose sum is σ = 2630626152. Its totient is φ = 157386240.

The previous prime is 705868003. The next prime is 705868049. The reversal of 705868020 is 20868507.

705868020 is a `hidden beast` number, since 70 + 586 + 8 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1920996 + 703947024 = 1386^2 + 26532^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2548122 + ... + 2548398.

Almost surely, 2^705868020 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 705868020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315313076).

705868020 is an abundant number, since it is smaller than the sum of its proper divisors (1924758132).

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

705868020 is a wasteful number, since it uses less digits than its factorization.

705868020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 705868020 is about 26568.1768286798. The cubic root of 705868020 is about 890.3781669438.

It can be divided in two parts, 70586 and 8020, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 705868020 in words is "seven hundred five million, eight hundred sixty-eight thousand, twenty".