705779640 has 192 divisors, whose sum is σ = 2372198400. Its totient is φ = 181875456.

The previous prime is 705779639. The next prime is 705779647. The reversal of 705779640 is 46977507.

705779640 is a `hidden beast` number, since 70 + 577 + 9 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705779647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1965781 + ... + 1966139.

It is an arithmetic number, because the mean of its divisors is an integer number (12355200).

Almost surely, 2^705779640 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 705779640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186099200).

705779640 is an abundant number, since it is smaller than the sum of its proper divisors (1666418760).

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

705779640 is a wasteful number, since it uses less digits than its factorization.

705779640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 705779640 is about 26566.5135085506. The cubic root of 705779640 is about 890.3410047054.

The spelling of 705779640 in words is "seven hundred five million, seven hundred seventy-nine thousand, six hundred forty".