705028896 has 576 divisors, whose sum is σ = 2674788480. Its totient is φ = 172523520.

The previous prime is 705028837. The next prime is 705028901. The reversal of 705028896 is 698820507.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13302406 + ... + 13302458.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^705028896 is an apocalyptic number.

705028896 is a gapful number since it is divisible by the number (76) 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 705028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

705028896 is an abundant number, since it is smaller than the sum of its proper divisors (1969759584).

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

705028896 is a wasteful number, since it uses less digits than its factorization.

705028896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 705028896 is about 26552.3802322880. The cubic root of 705028896 is about 890.0252048579.

The spelling of 705028896 in words is "seven hundred five million, twenty-eight thousand, eight hundred ninety-six".