705055752 has 96 divisors (see below), whose sum is σ = 2001199200. Its totient is φ = 232533504.

The previous prime is 705055717. The next prime is 705055753. The reversal of 705055752 is 257550507.

705055752 is a `hidden beast` number, since 7 + 0 + 50 + 557 + 52 = 666.

It is a super-2 number, since 2×705055752² = 994207226856571008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705055753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186699 + ... + 190437.

It is an arithmetic number, because the mean of its divisors is an integer number (20845825).

Almost surely, 2^705055752 is an apocalyptic number.

705055752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705055752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000599600).

705055752 is an abundant number, since it is smaller than the sum of its proper divisors (1296143448).

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

705055752 is a wasteful number, since it uses less digits than its factorization.

705055752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 705055752 is about 26552.8859448460. The cubic root of 705055752 is about 890.0365056776.

The spelling of 705055752 in words is "seven hundred five million, fifty-five thousand, seven hundred fifty-two".