81200400 has 120 divisors (see below), whose sum is σ = 262376064. Its totient is φ = 21465600.

The previous prime is 81200393. The next prime is 81200407. The reversal of 81200400 is 400218.

It is an interprime number because it is at equal distance from previous prime (81200393) and next prime (81200407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 81200400.

It is not an unprimeable number, because it can be changed into a prime (81200407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188185 + ... + 188615.

Almost surely, 2^81200400 is an apocalyptic number.

81200400 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 81200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131188032).

81200400 is an abundant number, since it is smaller than the sum of its proper divisors (181175664).

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

81200400 is a wasteful number, since it uses less digits than its factorization.

81200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 81200400 is about 9011.1264556658. The cubic root of 81200400 is about 433.0314004540.

Adding to 81200400 its reverse (400218), we get a palindrome (81600618).

The spelling of 81200400 in words is "eighty-one million, two hundred thousand, four hundred".