705714120 has 160 divisors (see below), whose sum is σ = 2390572800. Its totient is φ = 186717312.

The previous prime is 705714077. The next prime is 705714137. The reversal of 705714120 is 21417507.

705714120 is a `hidden beast` number, since 70 + 571 + 4 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 449577 + ... + 451143.

It is an arithmetic number, because the mean of its divisors is an integer number (14941080).

Almost surely, 2^705714120 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 705714120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195286400).

705714120 is an abundant number, since it is smaller than the sum of its proper divisors (1684858680).

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

705714120 is a wasteful number, since it uses less digits than its factorization.

705714120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 705714120 is about 26565.2803486054. The cubic root of 705714120 is about 890.3134526932.

It can be divided in two parts, 70571 and 4120, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 705714120 in words is "seven hundred five million, seven hundred fourteen thousand, one hundred twenty".