83077042176 has 624 divisors, whose sum is σ = 274777251840. Its totient is φ = 24962826240.

The previous prime is 83077042171. The next prime is 83077042189. The reversal of 83077042176 is 67124077038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83077042171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434958241 + ... + 434958431.

It is an arithmetic number, because the mean of its divisors is an integer number (440348160).

Almost surely, 2^83077042176 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 83077042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137388625920).

83077042176 is an abundant number, since it is smaller than the sum of its proper divisors (191700209664).

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

83077042176 is a wasteful number, since it uses less digits than its factorization.

83077042176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 83077042176 in words is "eighty-three billion, seventy-seven million, forty-two thousand, one hundred seventy-six".