726378840 has 320 divisors, whose sum is σ = 2705076000. Its totient is φ = 173352960.

The previous prime is 726378827. The next prime is 726378881. The reversal of 726378840 is 48873627.

It is a happy number.

726378840 is a `hidden beast` number, since 7 + 2 + 637 + 8 + 8 + 4 + 0 = 666.

726378840 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 79 ways as a sum of consecutive naturals, for example, 3171846 + ... + 3172074.

Almost surely, 2^726378840 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 726378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352538000).

726378840 is an abundant number, since it is smaller than the sum of its proper divisors (1978697160).

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

726378840 is a wasteful number, since it uses less digits than its factorization.

726378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

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

The square root of 726378840 is about 26951.4162893159. The cubic root of 726378840 is about 898.9200379427.

The spelling of 726378840 in words is "seven hundred twenty-six million, three hundred seventy-eight thousand, eight hundred forty".