220726800 has 360 divisors, whose sum is σ = 923482560. Its totient is φ = 47692800.

The previous prime is 220726787. The next prime is 220726813. The reversal of 220726800 is 8627022.

It is an interprime number because it is at equal distance from previous prime (220726787) and next prime (220726813).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478570 + ... + 479030.

Almost surely, 2^220726800 is an apocalyptic number.

220726800 is a gapful number since it is divisible by the number (20) 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 220726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461741280).

220726800 is an abundant number, since it is smaller than the sum of its proper divisors (702755760).

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

220726800 is a wasteful number, since it uses less digits than its factorization.

220726800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 220726800 is about 14856.8771954270. The cubic root of 220726800 is about 604.3451238713.

The spelling of 220726800 in words is "two hundred twenty million, seven hundred twenty-six thousand, eight hundred".