726278400 has 324 divisors, whose sum is σ = 2698546032. Its totient is φ = 193259520.

The previous prime is 726278347. The next prime is 726278417. The reversal of 726278400 is 4872627.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554967 + ... + 1555433.

Almost surely, 2^726278400 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 726278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349273016).

726278400 is an abundant number, since it is smaller than the sum of its proper divisors (1972267632).

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

726278400 is an equidigital number, since it uses as much as digits as its factorization.

726278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 726278400 is about 26949.5528719866. The cubic root of 726278400 is about 898.8786033242.

The spelling of 726278400 in words is "seven hundred twenty-six million, two hundred seventy-eight thousand, four hundred".