705604311700 has 72 divisors (see below), whose sum is σ = 1560461733432. Its totient is φ = 276843540480.

The previous prime is 705604311689. The next prime is 705604311721. The reversal of 705604311700 is 7113406507.

It can be written as a sum of positive squares in 12 ways, for example, as 500898738564 + 204705573136 = 707742^2 + 452444^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22970752 + ... + 23001448.

It is an arithmetic number, because the mean of its divisors is an integer number (21673079631).

Almost surely, 2^705604311700 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 705604311700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780230866716).

705604311700 is an abundant number, since it is smaller than the sum of its proper divisors (854857421732).

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

705604311700 is a wasteful number, since it uses less digits than its factorization.

705604311700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35101 (or 35094 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 705604311700 in words is "seven hundred five billion, six hundred four million, three hundred eleven thousand, seven hundred".