705423840 has 384 divisors, whose sum is σ = 2664990720. Its totient is φ = 154828800.

The previous prime is 705423839. The next prime is 705423853. The reversal of 705423840 is 48324507.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2602905 + ... + 2603175.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^705423840 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 705423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

705423840 is an abundant number, since it is smaller than the sum of its proper divisors (1959566880).

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

705423840 is a wasteful number, since it uses less digits than its factorization.

705423840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 705423840 is about 26559.8162644247. The cubic root of 705423840 is about 890.1913656590.

The spelling of 705423840 in words is "seven hundred five million, four hundred twenty-three thousand, eight hundred forty".