724256820 has 144 divisors (see below), whose sum is σ = 2642989440. Its totient is φ = 156826368.

The previous prime is 724256749. The next prime is 724256837. The reversal of 724256820 is 28652427.

724256820 is a `hidden beast` number, since 72 + 4 + 2 + 568 + 20 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8814 + ... + 39066.

Almost surely, 2^724256820 is an apocalyptic number.

724256820 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 724256820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321494720).

724256820 is an abundant number, since it is smaller than the sum of its proper divisors (1918732620).

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

724256820 is a wasteful number, since it uses less digits than its factorization.

724256820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30294 (or 30289 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 724256820 is about 26912.0199910746. The cubic root of 724256820 is about 898.0438253554.

The spelling of 724256820 in words is "seven hundred twenty-four million, two hundred fifty-six thousand, eight hundred twenty".