705810240 has 224 divisors, whose sum is σ = 2511064320. Its totient is φ = 186624000.

The previous prime is 705810229. The next prime is 705810277. The reversal of 705810240 is 42018507.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304370 + ... + 1304910.

Almost surely, 2^705810240 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 705810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255532160).

705810240 is an abundant number, since it is smaller than the sum of its proper divisors (1805254080).

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

705810240 is a wasteful number, since it uses less digits than its factorization.

705810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 705810240 is about 26567.0894152897. The cubic root of 705810240 is about 890.3538718193.

Adding to 705810240 its reverse (42018507), we get a palindrome (747828747).

The spelling of 705810240 in words is "seven hundred five million, eight hundred ten thousand, two hundred forty".