705934080 has 216 divisors, whose sum is σ = 2462267808. Its totient is φ = 186728448.

The previous prime is 705934057. The next prime is 705934091. The reversal of 705934080 is 80439507.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2684029 + ... + 2684291.

It is an arithmetic number, because the mean of its divisors is an integer number (11399388).

Almost surely, 2^705934080 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 705934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231133904).

705934080 is an abundant number, since it is smaller than the sum of its proper divisors (1756333728).

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

705934080 is a wasteful number, since it uses less digits than its factorization.

705934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

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

The square root of 705934080 is about 26569.4200162518. The cubic root of 705934080 is about 890.4059419883.

The spelling of 705934080 in words is "seven hundred five million, nine hundred thirty-four thousand, eighty".