726342400 has 216 divisors, whose sum is σ = 2124975104. Its totient is φ = 240537600.

The previous prime is 726342389. The next prime is 726342401. The reversal of 726342400 is 4243627.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (726342401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388539 + ... + 1389061.

Almost surely, 2^726342400 is an apocalyptic number.

726342400 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 726342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062487552).

726342400 is an abundant number, since it is smaller than the sum of its proper divisors (1398632704).

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

726342400 is a wasteful number, since it uses less digits than its factorization.

726342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 726342400 is about 26950.7402495739. The cubic root of 726342400 is about 898.9050057529.

The spelling of 726342400 in words is "seven hundred twenty-six million, three hundred forty-two thousand, four hundred".