705320928 has 288 divisors, whose sum is σ = 2289530880. Its totient is φ = 204456960.

The previous prime is 705320881. The next prime is 705320929. The reversal of 705320928 is 829023507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×705320928² = 994955222949562368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 705320892 and 705320901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705320929) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6847725 + ... + 6847827.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2^705320928 is an apocalyptic number.

705320928 is a gapful number since it is divisible by the number (78) 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 705320928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144765440).

705320928 is an abundant number, since it is smaller than the sum of its proper divisors (1584209952).

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

705320928 is a wasteful number, since it uses less digits than its factorization.

705320928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

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

The square root of 705320928 is about 26557.8788309609. The cubic root of 705320928 is about 890.1480745083.

The spelling of 705320928 in words is "seven hundred five million, three hundred twenty thousand, nine hundred twenty-eight".