81379200 has 288 divisors, whose sum is σ = 313607160. Its totient is φ = 18493440.

The previous prime is 81379183. The next prime is 81379201. The reversal of 81379200 is 297318.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81379201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470314 + ... + 470486.

Almost surely, 2^81379200 is an apocalyptic number.

81379200 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 81379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156803580).

81379200 is an abundant number, since it is smaller than the sum of its proper divisors (232227960).

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

81379200 is a wasteful number, since it uses less digits than its factorization.

81379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 81379200 is about 9021.0420684087. The cubic root of 81379200 is about 433.3490066652.

The spelling of 81379200 in words is "eighty-one million, three hundred seventy-nine thousand, two hundred".