81034800 has 240 divisors, whose sum is σ = 324003072. Its totient is φ = 16819200.

The previous prime is 81034781. The next prime is 81034813. The reversal of 81034800 is 843018.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×81034800² = 13133277622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 91962 + ... + 92838.

Almost surely, 2^81034800 is an apocalyptic number.

81034800 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 81034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162001536).

81034800 is an abundant number, since it is smaller than the sum of its proper divisors (242968272).

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

81034800 is a wasteful number, since it uses less digits than its factorization.

81034800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 81034800 is about 9001.9331257236. The cubic root of 81034800 is about 432.7368255355.

Adding to 81034800 its reverse (843018), we get a palindrome (81877818).

The spelling of 81034800 in words is "eighty-one million, thirty-four thousand, eight hundred".