720645120 has 352 divisors, whose sum is σ = 2764923840. Its totient is φ = 176947200.

The previous prime is 720645103. The next prime is 720645143. The reversal of 720645120 is 21546027.

720645120 is a `hidden beast` number, since 7 + 2 + 0 + 645 + 12 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796920 + ... + 1797320.

Almost surely, 2^720645120 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 720645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382461920).

720645120 is an abundant number, since it is smaller than the sum of its proper divisors (2044278720).

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

720645120 is a wasteful number, since it uses less digits than its factorization.

720645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 720645120 is about 26844.8341399235. The cubic root of 720645120 is about 896.5485586449.

It can be divided in two parts, 7206 and 45120, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 720645120 in words is "seven hundred twenty million, six hundred forty-five thousand, one hundred twenty".