726842688 has 224 divisors, whose sum is σ = 2359590912. Its totient is φ = 194304000.

The previous prime is 726842681. The next prime is 726842693. The reversal of 726842688 is 886248627.

It is a self number, because there is not a number n which added to its sum of digits gives 726842688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726842681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630913 + ... + 632063.

It is an arithmetic number, because the mean of its divisors is an integer number (10533888).

Almost surely, 2^726842688 is an apocalyptic number.

726842688 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179795456).

726842688 is an abundant number, since it is smaller than the sum of its proper divisors (1632748224).

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

726842688 is a wasteful number, since it uses less digits than its factorization.

726842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 726842688 is about 26960.0201780340. The cubic root of 726842688 is about 899.1113401101. Note that the first 3 decimals are identical.

The spelling of 726842688 in words is "seven hundred twenty-six million, eight hundred forty-two thousand, six hundred eighty-eight".