705341520 has 240 divisors, whose sum is σ = 2646413952. Its totient is φ = 173560320.

The previous prime is 705341501. The next prime is 705341521. The reversal of 705341520 is 25143507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705341521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251325 + ... + 254115.

Almost surely, 2^705341520 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 705341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323206976).

705341520 is an abundant number, since it is smaller than the sum of its proper divisors (1941072432).

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

705341520 is a wasteful number, since it uses less digits than its factorization.

705341520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 705341520 is about 26558.2665096952. The cubic root of 705341520 is about 890.1567371138.

It can be divided in two parts, 705 and 341520, that added together give a square (342225 = 585²).

The spelling of 705341520 in words is "seven hundred five million, three hundred forty-one thousand, five hundred twenty".