726823968 has 48 divisors (see below), whose sum is σ = 2054678976. Its totient is φ = 223637760.

The previous prime is 726823961. The next prime is 726824003. The reversal of 726823968 is 869328627.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 726823968.

It is not an unprimeable number, because it can be changed into a prime (726823961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289948 + ... + 292443.

It is an arithmetic number, because the mean of its divisors is an integer number (42805812).

Almost surely, 2^726823968 is an apocalyptic number.

726823968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

726823968 is an abundant number, since it is smaller than the sum of its proper divisors (1327855008).

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

726823968 is a wasteful number, since it uses less digits than its factorization.

726823968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582417 (or 582409 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 726823968 is about 26959.6729950495. The cubic root of 726823968 is about 899.1036211043.

The spelling of 726823968 in words is "seven hundred twenty-six million, eight hundred twenty-three thousand, nine hundred sixty-eight".