81076800 has 336 divisors, whose sum is σ = 322519040. Its totient is φ = 17418240.

The previous prime is 81076799. The next prime is 81076823. The reversal of 81076800 is 867018.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638337 + ... + 638463.

Almost surely, 2^81076800 is an apocalyptic number.

81076800 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 81076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161259520).

81076800 is an abundant number, since it is smaller than the sum of its proper divisors (241442240).

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

81076800 is a wasteful number, since it uses less digits than its factorization.

81076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 81076800 is about 9004.2656557878. The cubic root of 81076800 is about 432.8115745222.

The spelling of 81076800 in words is "eighty-one million, seventy-six thousand, eight hundred".