720697824 has 480 divisors, whose sum is σ = 2775015936. Its totient is φ = 177914880.

The previous prime is 720697799. The next prime is 720697843. The reversal of 720697824 is 428796027.

It is a self number, because there is not a number n which added to its sum of digits gives 720697824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4590354 + ... + 4590510.

Almost surely, 2^720697824 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 720697824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387507968).

720697824 is an abundant number, since it is smaller than the sum of its proper divisors (2054318112).

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

720697824 is a wasteful number, since it uses less digits than its factorization.

720697824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 720697824 is about 26845.8157633550. The cubic root of 720697824 is about 896.5704143138.

The spelling of 720697824 in words is "seven hundred twenty million, six hundred ninety-seven thousand, eight hundred twenty-four".