726079920 has 80 divisors (see below), whose sum is σ = 2274125280. Its totient is φ = 191619072.

The previous prime is 726079909. The next prime is 726079951. The reversal of 726079920 is 29970627.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7686 + ... + 38874.

It is an arithmetic number, because the mean of its divisors is an integer number (28426566).

Almost surely, 2^726079920 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 726079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137062640).

726079920 is an abundant number, since it is smaller than the sum of its proper divisors (1548045360).

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

726079920 is a wasteful number, since it uses less digits than its factorization.

726079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31302 (or 31296 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 726079920 is about 26945.8701845014. The cubic root of 726079920 is about 898.7967129271.

The spelling of 726079920 in words is "seven hundred twenty-six million, seventy-nine thousand, nine hundred twenty".