720693504 has 144 divisors (see below), whose sum is σ = 2150615040. Its totient is φ = 238049280.

The previous prime is 720693469. The next prime is 720693509. The reversal of 720693504 is 405396027.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (720693509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877414 + ... + 878234.

Almost surely, 2^720693504 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 720693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075307520).

720693504 is an abundant number, since it is smaller than the sum of its proper divisors (1429921536).

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

720693504 is a wasteful number, since it uses less digits than its factorization.

720693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 720693504 is about 26845.7353037685. The cubic root of 720693504 is about 896.5686229056.

The spelling of 720693504 in words is "seven hundred twenty million, six hundred ninety-three thousand, five hundred four".