726086400 has 216 divisors, whose sum is σ = 2581449360. Its totient is φ = 178667520.

The previous prime is 726086341. The next prime is 726086411. The reversal of 726086400 is 4680627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248146 + ... + 251054.

Almost surely, 2^726086400 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 726086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290724680).

726086400 is an abundant number, since it is smaller than the sum of its proper divisors (1855362960).

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

726086400 is a wasteful number, since it uses less digits than its factorization.

726086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 726086400 is about 26945.9904252933. The cubic root of 726086400 is about 898.7993867307.

The spelling of 726086400 in words is "seven hundred twenty-six million, eighty-six thousand, four hundred".