726819840 has 132 divisors (see below), whose sum is σ = 2518571484. Its totient is φ = 193806336.

The previous prime is 726819811. The next prime is 726819851. The reversal of 726819840 is 48918627.

It can be written as a sum of positive squares in 2 ways, for example, as 343286784 + 383533056 = 18528^2 + 19584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38194 + ... + 53966.

It is an arithmetic number, because the mean of its divisors is an integer number (19080087).

Almost surely, 2^726819840 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 726819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259285742).

726819840 is an abundant number, since it is smaller than the sum of its proper divisors (1791751644).

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

726819840 is a wasteful number, since it uses less digits than its factorization.

726819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15804 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 726819840 is about 26959.5964361487. The cubic root of 726819840 is about 899.1019189467.

The spelling of 726819840 in words is "seven hundred twenty-six million, eight hundred nineteen thousand, eight hundred forty".