726970400 has 216 divisors, whose sum is σ = 2030026320. Its totient is φ = 253393920.

The previous prime is 726970399. The next prime is 726970421. The reversal of 726970400 is 4079627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2568659 + ... + 2568941.

It is an arithmetic number, because the mean of its divisors is an integer number (9398270).

Almost surely, 2^726970400 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 726970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015013160).

726970400 is an abundant number, since it is smaller than the sum of its proper divisors (1303055920).

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

726970400 is a wasteful number, since it uses less digits than its factorization.

726970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 726970400 is about 26962.3886182215. The cubic root of 726970400 is about 899.1639973470.

The spelling of 726970400 in words is "seven hundred twenty-six million, nine hundred seventy thousand, four hundred".