726818400 has 1152 divisors, whose sum is σ = 3599769600. Its totient is φ = 136857600.

The previous prime is 726818369. The next prime is 726818461. The reversal of 726818400 is 4818627.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31600789 + ... + 31600811.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^726818400 is an apocalyptic number.

726818400 is a gapful number since it is divisible by the number (70) 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 726818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

726818400 is an abundant number, since it is smaller than the sum of its proper divisors (2872951200).

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

726818400 is a wasteful number, since it uses less digits than its factorization.

726818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 726818400 is about 26959.5697295042. The cubic root of 726818400 is about 899.1013251693.

The spelling of 726818400 in words is "seven hundred twenty-six million, eight hundred eighteen thousand, four hundred".