705095680 has 96 divisors (see below), whose sum is σ = 1738474920. Its totient is φ = 274268160.

The previous prime is 705095669. The next prime is 705095683. The reversal of 705095680 is 86590507.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 472105984 + 232989696 = 21728^2 + 15264^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (705095683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377950 + ... + 379810.

Almost surely, 2^705095680 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 705095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869237460).

705095680 is an abundant number, since it is smaller than the sum of its proper divisors (1033379240).

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

705095680 is a wasteful number, since it uses less digits than its factorization.

705095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 705095680 is about 26553.6377922122. The cubic root of 705095680 is about 890.0533065744.

The spelling of 705095680 in words is "seven hundred five million, ninety-five thousand, six hundred eighty".