81793600 has 168 divisors, whose sum is σ = 235590080. Its totient is φ = 27371520.

The previous prime is 81793597. The next prime is 81793609. The reversal of 81793600 is 639718.

It is not an unprimeable number, because it can be changed into a prime (81793609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750346 + ... + 750454.

Almost surely, 2^81793600 is an apocalyptic number.

81793600 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 81793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117795040).

81793600 is an abundant number, since it is smaller than the sum of its proper divisors (153796480).

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

81793600 is a wasteful number, since it uses less digits than its factorization.

81793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 81793600 is about 9043.9814241295. The cubic root of 81793600 is about 434.0833297206.

The spelling of 81793600 in words is "eighty-one million, seven hundred ninety-three thousand, six hundred".