81763200 has 288 divisors, whose sum is σ = 310761360. Its totient is φ = 20398080.

The previous prime is 81763193. The next prime is 81763207. The reversal of 81763200 is 236718.

It is an interprime number because it is at equal distance from previous prime (81763193) and next prime (81763207).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81763207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489517 + ... + 489683.

Almost surely, 2^81763200 is an apocalyptic number.

81763200 is a gapful number since it is divisible by the number (80) 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 81763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

81763200 is an abundant number, since it is smaller than the sum of its proper divisors (228998160).

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

81763200 is a wasteful number, since it uses less digits than its factorization.

81763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 81763200 is about 9042.3005922166. The cubic root of 81763200 is about 434.0295448751.

Adding to 81763200 its reverse (236718), we get a palindrome (81999918).

The spelling of 81763200 in words is "eighty-one million, seven hundred sixty-three thousand, two hundred".