705363840 has 192 divisors, whose sum is σ = 2456017200. Its totient is φ = 186531840.

The previous prime is 705363833. The next prime is 705363853. The reversal of 705363840 is 48363507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 705363795 and 705363804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800200 + ... + 801080.

Almost surely, 2^705363840 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 705363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228008600).

705363840 is an abundant number, since it is smaller than the sum of its proper divisors (1750653360).

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

705363840 is a wasteful number, since it uses less digits than its factorization.

705363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 705363840 is about 26558.6867145196. The cubic root of 705363840 is about 890.1661264608.

The spelling of 705363840 in words is "seven hundred five million, three hundred sixty-three thousand, eight hundred forty".