81076775040 has 768 divisors, whose sum is σ = 305388195840. Its totient is φ = 20528640000.

The previous prime is 81076775033. The next prime is 81076775051. The reversal of 81076775040 is 4057767018.

81076775040 is a `hidden beast` number, since 8 + 1 + 0 + 76 + 77 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323014915 + ... + 323015165.

It is an arithmetic number, because the mean of its divisors is an integer number (397640880).

Almost surely, 2^81076775040 is an apocalyptic number.

81076775040 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 81076775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152694097920).

81076775040 is an abundant number, since it is smaller than the sum of its proper divisors (224311420800).

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

81076775040 is a wasteful number, since it uses less digits than its factorization.

81076775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 81076775040 in words is "eighty-one billion, seventy-six million, seven hundred seventy-five thousand, forty".