81052800 has 96 divisors (see below), whose sum is σ = 266999280. Its totient is φ = 21611520.

The previous prime is 81052799. The next prime is 81052801. The reversal of 81052800 is 825018.

It is an interprime number because it is at equal distance from previous prime (81052799) and next prime (81052801).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (81052801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5379 + ... + 13821.

Almost surely, 2^81052800 is an apocalyptic number.

81052800 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 81052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133499640).

81052800 is an abundant number, since it is smaller than the sum of its proper divisors (185946480).

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

81052800 is a wasteful number, since it uses less digits than its factorization.

81052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 81052800 is about 9002.9328554644. The cubic root of 81052800 is about 432.7688639774.

Adding to 81052800 its reverse (825018), we get a palindrome (81877818).

The spelling of 81052800 in words is "eighty-one million, fifty-two thousand, eight hundred".