705652000 has 48 divisors (see below), whose sum is σ = 1733796792. Its totient is φ = 282259200.

The previous prime is 705651979. The next prime is 705652007. The reversal of 705652000 is 256507.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 124456336 + 581195664 = 11156^2 + 24108^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (705652007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84207 + ... + 92206.

Almost surely, 2^705652000 is an apocalyptic number.

It is an amenable number.

705652000 is an abundant number, since it is smaller than the sum of its proper divisors (1028144792).

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

705652000 is a wasteful number, since it uses less digits than its factorization.

705652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176438 (or 176420 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 705652000 is about 26564.1111276097. Note that the first 4 decimals coincide. The cubic root of 705652000 is about 890.2873288502.

The spelling of 705652000 in words is "seven hundred five million, six hundred fifty-two thousand".