81259200 has 504 divisors, whose sum is σ = 343936320. Its totient is φ = 18662400.

The previous prime is 81259187. The next prime is 81259267. The reversal of 81259200 is 295218.

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

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, 4276791 + ... + 4276809.

Almost surely, 2^81259200 is an apocalyptic number.

81259200 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 81259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171968160).

81259200 is an abundant number, since it is smaller than the sum of its proper divisors (262677120).

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

81259200 is a wasteful number, since it uses less digits than its factorization.

81259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 81259200 is about 9014.3884983952. The cubic root of 81259200 is about 433.1358995402.

The spelling of 81259200 in words is "eighty-one million, two hundred fifty-nine thousand, two hundred".