720933120 has 108 divisors (see below), whose sum is σ = 2494393356. Its totient is φ = 192245760.

The previous prime is 720933089. The next prime is 720933149. The reversal of 720933120 is 21339027.

It can be written as a sum of positive squares in 2 ways, for example, as 555450624 + 165482496 = 23568^2 + 12864^2 .

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 11 ways as a sum of consecutive naturals, for example, 19771 + ... + 42810.

Almost surely, 2^720933120 is an apocalyptic number.

It is an amenable number.

720933120 is an abundant number, since it is smaller than the sum of its proper divisors (1773460236).

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

720933120 is a wasteful number, since it uses less digits than its factorization.

720933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62608 (or 62591 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 720933120 is about 26850.1977646348. The cubic root of 720933120 is about 896.6679755343.

It can be divided in two parts, 720 and 933120, that multiplied together give a square (671846400 = 25920²).

The spelling of 720933120 in words is "seven hundred twenty million, nine hundred thirty-three thousand, one hundred twenty".