720683040 has 768 divisors, whose sum is σ = 3177086976. Its totient is φ = 132710400.

The previous prime is 720683027. The next prime is 720683063. The reversal of 720683040 is 40386027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 720682989 and 720683007.

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 127 ways as a sum of consecutive naturals, for example, 19477902 + ... + 19477938.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^720683040 is an apocalyptic number.

720683040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588543488).

720683040 is an abundant number, since it is smaller than the sum of its proper divisors (2456403936).

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

720683040 is a wasteful number, since it uses less digits than its factorization.

720683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 720683040 is about 26845.5404117704. The cubic root of 720683040 is about 896.5642836872.

The spelling of 720683040 in words is "seven hundred twenty million, six hundred eighty-three thousand, forty".