726783840 has 384 divisors, whose sum is σ = 2697891840. Its totient is φ = 184757760.

The previous prime is 726783821. The next prime is 726783853. The reversal of 726783840 is 48387627.

It is a happy number.

726783840 is a `hidden beast` number, since 7 + 267 + 8 + 384 + 0 = 666.

726783840 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10847487 + ... + 10847553.

It is an arithmetic number, because the mean of its divisors is an integer number (7025760).

Almost surely, 2^726783840 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 726783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348945920).

726783840 is an abundant number, since it is smaller than the sum of its proper divisors (1971108000).

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

726783840 is an equidigital number, since it uses as much as digits as its factorization.

726783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 726783840 is about 26958.9287621003. The cubic root of 726783840 is about 899.0870742760.

The spelling of 726783840 in words is "seven hundred twenty-six million, seven hundred eighty-three thousand, eight hundred forty".