705825400 has 96 divisors (see below), whose sum is σ = 1913940000. Its totient is φ = 241973760.

The previous prime is 705825383. The next prime is 705825409. The reversal of 705825400 is 4528507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705825409) 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 23 ways as a sum of consecutive naturals, for example, 63456 + ... + 73744.

It is an arithmetic number, because the mean of its divisors is an integer number (19936875).

Almost surely, 2^705825400 is an apocalyptic number.

705825400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705825400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956970000).

705825400 is an abundant number, since it is smaller than the sum of its proper divisors (1208114600).

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

705825400 is a wasteful number, since it uses less digits than its factorization.

705825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 705825400 is about 26567.3747291674. The cubic root of 705825400 is about 890.3602463693.

The spelling of 705825400 in words is "seven hundred five million, eight hundred twenty-five thousand, four hundred".