705396907898880 has 1152 divisors, whose sum is σ = 2415035666534400. Its totient is φ = 175567011840000.

The previous prime is 705396907898857. The next prime is 705396907898897. The reversal of 705396907898880 is 88898709693507.

It is a super-3 number, since 3×705396907898880³ (a number of 46 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 142475640405 + ... + 142475645355.

It is an arithmetic number, because the mean of its divisors is an integer number (2096385127200).

Almost surely, 2^{705396907898880} 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 705396907898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207517833267200).

705396907898880 is an abundant number, since it is smaller than the sum of its proper divisors (1709638758635520).

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

705396907898880 is a wasteful number, since it uses less digits than its factorization.

705396907898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 13168189440, while the sum is 87.

The spelling of 705396907898880 in words is "seven hundred five trillion, three hundred ninety-six billion, nine hundred seven million, eight hundred ninety-eight thousand, eight hundred eighty".