705980340 has 384 divisors, whose sum is σ = 2558976000. Its totient is φ = 160123392.

The previous prime is 705980333. The next prime is 705980351. The reversal of 705980340 is 43089507.

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

It is a junction number, because it is equal to n+sod(n) for n = 705980295 and 705980304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8936421 + ... + 8936499.

It is an arithmetic number, because the mean of its divisors is an integer number (6664000).

Almost surely, 2^705980340 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 705980340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279488000).

705980340 is an abundant number, since it is smaller than the sum of its proper divisors (1852995660).

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

705980340 is a wasteful number, since it uses less digits than its factorization.

705980340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 705980340 is about 26570.2905516669. The cubic root of 705980340 is about 890.4253910560.

The spelling of 705980340 in words is "seven hundred five million, nine hundred eighty thousand, three hundred forty".