705299760 has 480 divisors, whose sum is σ = 2808748800. Its totient is φ = 156764160.

The previous prime is 705299743. The next prime is 705299797. The reversal of 705299760 is 67992507.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6470586 + ... + 6470694.

It is an arithmetic number, because the mean of its divisors is an integer number (5851560).

Almost surely, 2^705299760 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 705299760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404374400).

705299760 is an abundant number, since it is smaller than the sum of its proper divisors (2103449040).

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

705299760 is a wasteful number, since it uses less digits than its factorization.

705299760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 705299760 is about 26557.4803021672. The cubic root of 705299760 is about 890.1391694165.

The spelling of 705299760 in words is "seven hundred five million, two hundred ninety-nine thousand, seven hundred sixty".