720580680 has 96 divisors (see below), whose sum is σ = 2346622200. Its totient is φ = 191766528.

The previous prime is 720580673. The next prime is 720580703. The reversal of 720580680 is 86085027.

720580680 is a `hidden beast` number, since 72 + 0 + 580 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 600152004 + 120428676 = 24498^2 + 10974^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 205986 + ... + 209454.

Almost surely, 2^720580680 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 720580680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173311100).

720580680 is an abundant number, since it is smaller than the sum of its proper divisors (1626041520).

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

720580680 is a wasteful number, since it uses less digits than its factorization.

720580680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4056 counting only the distinct ones).

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

The square root of 720580680 is about 26843.6338821703. The cubic root of 720580680 is about 896.5218347602.

The spelling of 720580680 in words is "seven hundred twenty million, five hundred eighty thousand, six hundred eighty".