720558720 has 768 divisors, whose sum is σ = 3181420800. Its totient is φ = 153280512.

The previous prime is 720558677. The next prime is 720558731. The reversal of 720558720 is 27855027.

720558720 is a `hidden beast` number, since 72 + 0 + 5 + 587 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 19474542 + ... + 19474578.

It is an arithmetic number, because the mean of its divisors is an integer number (4142475).

Almost surely, 2^720558720 is an apocalyptic number.

720558720 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 720558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590710400).

720558720 is an abundant number, since it is smaller than the sum of its proper divisors (2460862080).

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

720558720 is a wasteful number, since it uses less digits than its factorization.

720558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 720558720 is about 26843.2248435243. The cubic root of 720558720 is about 896.5127273741.

The spelling of 720558720 in words is "seven hundred twenty million, five hundred fifty-eight thousand, seven hundred twenty".