81052400 has 180 divisors, whose sum is σ = 232139160. Its totient is φ = 26956800.

The previous prime is 81052381. The next prime is 81052427. The reversal of 81052400 is 425018.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 743546 + ... + 743654.

It is an arithmetic number, because the mean of its divisors is an integer number (1289662).

Almost surely, 2^81052400 is an apocalyptic number.

81052400 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 81052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116069580).

81052400 is an abundant number, since it is smaller than the sum of its proper divisors (151086760).

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

81052400 is a wasteful number, since it uses less digits than its factorization.

81052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 81052400 is about 9002.9106404540. The cubic root of 81052400 is about 432.7681520635.

Adding to 81052400 its reverse (425018), we get a palindrome (81477418).

The spelling of 81052400 in words is "eighty-one million, fifty-two thousand, four hundred".