705615680 has 168 divisors, whose sum is σ = 2132783136. Its totient is φ = 219878400.

The previous prime is 705615637. The next prime is 705615697. The reversal of 705615680 is 86516507.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170435 + ... + 174525.

Almost surely, 2^705615680 is an apocalyptic number.

705615680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066391568).

705615680 is an abundant number, since it is smaller than the sum of its proper divisors (1427167456).

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

705615680 is a wasteful number, since it uses less digits than its factorization.

705615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 705615680 is about 26563.4274896897. The cubic root of 705615680 is about 890.2720541867.

The spelling of 705615680 in words is "seven hundred five million, six hundred fifteen thousand, six hundred eighty".