726939840 has 448 divisors, whose sum is σ = 2728276992. Its totient is φ = 162201600.

The previous prime is 726939809. The next prime is 726939841. The reversal of 726939840 is 48939627.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 726939840.

It is not an unprimeable number, because it can be changed into a prime (726939841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9958044 + ... + 9958116.

It is an arithmetic number, because the mean of its divisors is an integer number (6089904).

Almost surely, 2^726939840 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 726939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364138496).

726939840 is an abundant number, since it is smaller than the sum of its proper divisors (2001337152).

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

726939840 is a wasteful number, since it uses less digits than its factorization.

726939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 726939840 is about 26961.8218968971. The cubic root of 726939840 is about 899.1513976424.

The spelling of 726939840 in words is "seven hundred twenty-six million, nine hundred thirty-nine thousand, eight hundred forty".