705795840 has 216 divisors, whose sum is σ = 2462267808. Its totient is φ = 186654720.

The previous prime is 705795833. The next prime is 705795913. The reversal of 705795840 is 48597507.

705795840 is a `hidden beast` number, since 70 + 579 + 5 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×705795840² = 996295535522611200, which contains 22 as substring.

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

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, 2269285 + ... + 2269595.

It is an arithmetic number, because the mean of its divisors is an integer number (11399388).

Almost surely, 2^705795840 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 705795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231133904).

705795840 is an abundant number, since it is smaller than the sum of its proper divisors (1756471968).

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

705795840 is a wasteful number, since it uses less digits than its factorization.

705795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 705795840 is about 26566.8184019088. The cubic root of 705795840 is about 890.3478167532.

The spelling of 705795840 in words is "seven hundred five million, seven hundred ninety-five thousand, eight hundred forty".