722066400 has 360 divisors, whose sum is σ = 2875456584. Its totient is φ = 174873600.

The previous prime is 722066383. The next prime is 722066413. The reversal of 722066400 is 4660227.

722066400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712294 + ... + 713306.

Almost surely, 2^722066400 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 722066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437728292).

722066400 is an abundant number, since it is smaller than the sum of its proper divisors (2153390184).

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

722066400 is a wasteful number, since it uses less digits than its factorization.

722066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 722066400 is about 26871.2932327419. The cubic root of 722066400 is about 897.1375724387.

It can be divided in two parts, 72206 and 6400, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 722066400 in words is "seven hundred twenty-two million, sixty-six thousand, four hundred".