720605808 has 240 divisors, whose sum is σ = 2303290080. Its totient is φ = 216732672.

The previous prime is 720605797. The next prime is 720605813. The reversal of 720605808 is 808506027.

720605808 is a `hidden beast` number, since 72 + 0 + 6 + 0 + 580 + 8 = 666.

720605808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678698 + ... + 2678966.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042).

Almost surely, 2^720605808 is an apocalyptic number.

720605808 is a gapful number since it is divisible by the number (78) 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 720605808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151645040).

720605808 is an abundant number, since it is smaller than the sum of its proper divisors (1582684272).

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

720605808 is a wasteful number, since it uses less digits than its factorization.

720605808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 720605808 is about 26844.1019220238. The cubic root of 720605808 is about 896.5322557718.

The spelling of 720605808 in words is "seven hundred twenty million, six hundred five thousand, eight hundred eight".