81675300 has 288 divisors, whose sum is σ = 299980800. Its totient is φ = 16727040.

The previous prime is 81675289. The next prime is 81675313. The reversal of 81675300 is 357618.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 917656 + ... + 917744.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^81675300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81675300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

81675300 is an abundant number, since it is smaller than the sum of its proper divisors (218305500).

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

81675300 is a wasteful number, since it uses less digits than its factorization.

81675300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 81675300 is about 9037.4387964733. The cubic root of 81675300 is about 433.8739537831.

It can be divided in two parts, 81675 and 300, that multiplied together give a square (24502500 = 4950²).

The spelling of 81675300 in words is "eighty-one million, six hundred seventy-five thousand, three hundred".