722282400 has 576 divisors, whose sum is σ = 3172296960. Its totient is φ = 154828800.

The previous prime is 722282399. The next prime is 722282441. The reversal of 722282400 is 4282227.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2570260 + ... + 2570540.

It is an arithmetic number, because the mean of its divisors is an integer number (5507460).

Almost surely, 2^722282400 is an apocalyptic number.

722282400 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 722282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586148480).

722282400 is an abundant number, since it is smaller than the sum of its proper divisors (2450014560).

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

722282400 is a wasteful number, since it uses less digits than its factorization.

722282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 722282400 is about 26875.3120912111. The cubic root of 722282400 is about 897.2270205357.

The spelling of 722282400 in words is "seven hundred twenty-two million, two hundred eighty-two thousand, four hundred".