720767040400 has 405 divisors, whose sum is σ = 2030871754387. Its totient is φ = 245592934400.

The previous prime is 720767040293. The next prime is 720767040439. The reversal of 720767040400 is 4040767027.

It is a happy number.

The square root of 720767040400 is 848980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16859464336 + 703907576064 = 129844^2 + 838992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 720767040400.

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 80 ways as a sum of consecutive naturals, for example, 3175185087 + ... + 3175185313.

Almost surely, 2^720767040400 is an apocalyptic number.

720767040400 is the 848980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720767040400

720767040400 is an abundant number, since it is smaller than the sum of its proper divisors (1310104713987).

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

720767040400 is a wasteful number, since it uses less digits than its factorization.

720767040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The spelling of 720767040400 in words is "seven hundred twenty billion, seven hundred sixty-seven million, forty thousand, four hundred".