705060720 has 640 divisors, whose sum is σ = 3179796480. Its totient is φ = 139345920.

The previous prime is 705060709. The next prime is 705060751. The reversal of 705060720 is 27060507.

705060720 is a `hidden beast` number, since 7 + 0 + 50 + 607 + 2 + 0 = 666.

It is a super-2 number, since 2×705060720² = 994221237773836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341415 + ... + 3341625.

It is an arithmetic number, because the mean of its divisors is an integer number (4968432).

Almost surely, 2^705060720 is an apocalyptic number.

705060720 is a gapful number since it is divisible by the number (70) 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 705060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589898240).

705060720 is an abundant number, since it is smaller than the sum of its proper divisors (2474735760).

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

705060720 is a wasteful number, since it uses less digits than its factorization.

705060720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 705060720 is about 26552.9794938346. The cubic root of 705060720 is about 890.0385961463.

The spelling of 705060720 in words is "seven hundred five million, sixty thousand, seven hundred twenty".