83300083776 has 1260 divisors, whose sum is σ = 331520035968. Its totient is φ = 20237008896.

The previous prime is 83300083753. The next prime is 83300083777. The reversal of 83300083776 is 67738000338.

It is a super-3 number, since 3×83300083776³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (83300083777) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 1772342185 + ... + 1772342231.

Almost surely, 2^83300083776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83300083776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165760017984).

83300083776 is an abundant number, since it is smaller than the sum of its proper divisors (248219952192).

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

83300083776 is a wasteful number, since it uses less digits than its factorization.

83300083776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 83300083776 in words is "eighty-three billion, three hundred million, eighty-three thousand, seven hundred seventy-six".