720769920 has 256 divisors, whose sum is σ = 2516935680. Its totient is φ = 174366720.

The previous prime is 720769909. The next prime is 720769963. The reversal of 720769920 is 29967027.

It is a super-3 number, since 3×720769920³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1672105 + ... + 1672535.

It is an arithmetic number, because the mean of its divisors is an integer number (9831780).

Almost surely, 2^720769920 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 720769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258467840).

720769920 is an abundant number, since it is smaller than the sum of its proper divisors (1796165760).

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

720769920 is a wasteful number, since it uses less digits than its factorization.

720769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 720769920 is about 26847.1585088627. The cubic root of 720769920 is about 896.6003098692.

The spelling of 720769920 in words is "seven hundred twenty million, seven hundred sixty-nine thousand, nine hundred twenty".