705760830 has 64 divisors (see below), whose sum is σ = 1899374400. Its totient is φ = 186468480.

The previous prime is 705760813. The next prime is 705760837. The reversal of 705760830 is 38067507.

705760830 is a `hidden beast` number, since 7 + 0 + 576 + 0 + 83 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705760837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17440 + ... + 41420.

It is an arithmetic number, because the mean of its divisors is an integer number (29677725).

Almost surely, 2^705760830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705760830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949687200).

705760830 is an abundant number, since it is smaller than the sum of its proper divisors (1193613570).

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

705760830 is a wasteful number, since it uses less digits than its factorization.

705760830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24106 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 705760830 is about 26566.1594890944. The cubic root of 705760830 is about 890.3330950303. Note that the first 3 decimals are identical.

The spelling of 705760830 in words is "seven hundred five million, seven hundred sixty thousand, eight hundred thirty".