726798960 has 160 divisors (see below), whose sum is σ = 2650812480. Its totient is φ = 182403072.

The previous prime is 726798959. The next prime is 726798983. The reversal of 726798960 is 69897627.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 726798897 and 726798906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26824 + ... + 46616.

It is an arithmetic number, because the mean of its divisors is an integer number (16567578).

Almost surely, 2^726798960 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 726798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325406240).

726798960 is an abundant number, since it is smaller than the sum of its proper divisors (1924013520).

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

726798960 is a wasteful number, since it uses less digits than its factorization.

726798960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19832 (or 19820 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 726798960 is about 26959.2091872147. The cubic root of 726798960 is about 899.0933090974.

The spelling of 726798960 in words is "seven hundred twenty-six million, seven hundred ninety-eight thousand, nine hundred sixty".