81735808 has 64 divisors (see below), whose sum is σ = 203037120. Its totient is φ = 31841280.

The previous prime is 81735793. The next prime is 81735811. The reversal of 81735808 is 80853718.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×81735808³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5710 + ... + 14002.

It is an arithmetic number, because the mean of its divisors is an integer number (3172455).

Almost surely, 2^81735808 is an apocalyptic number.

81735808 is a gapful number since it is divisible by the number (88) 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 81735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101518560).

81735808 is an abundant number, since it is smaller than the sum of its proper divisors (121301312).

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

81735808 is a wasteful number, since it uses less digits than its factorization.

81735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 81735808 is about 9040.7858065546. The cubic root of 81735808 is about 433.9810704791.

The spelling of 81735808 in words is "eighty-one million, seven hundred thirty-five thousand, eight hundred eight".