705407130 has 96 divisors (see below), whose sum is σ = 1920469824. Its totient is φ = 186281856.

The previous prime is 705407117. The next prime is 705407177. The reversal of 705407130 is 31704507.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 705407094 and 705407103.

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 47 ways as a sum of consecutive naturals, for example, 258654 + ... + 261366.

It is an arithmetic number, because the mean of its divisors is an integer number (20004894).

Almost surely, 2^705407130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705407130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960234912).

705407130 is an abundant number, since it is smaller than the sum of its proper divisors (1215062694).

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

705407130 is a wasteful number, since it uses less digits than its factorization.

705407130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 705407130 is about 26559.5016896025. The cubic root of 705407130 is about 890.1843366861.

The spelling of 705407130 in words is "seven hundred five million, four hundred seven thousand, one hundred thirty".