726435840 has 384 divisors, whose sum is σ = 2674788480. Its totient is φ = 166723584.

The previous prime is 726435817. The next prime is 726435859. The reversal of 726435840 is 48534627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6789067 + ... + 6789173.

It is an arithmetic number, because the mean of its divisors is an integer number (6965595).

Almost surely, 2^726435840 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 726435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337394240).

726435840 is an abundant number, since it is smaller than the sum of its proper divisors (1948352640).

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

726435840 is a wasteful number, since it uses less digits than its factorization.

726435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 726435840 is about 26952.4737269142. The cubic root of 726435840 is about 898.9435505137.

The spelling of 726435840 in words is "seven hundred twenty-six million, four hundred thirty-five thousand, eight hundred forty".