83877872 has 80 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 36427776.

The previous prime is 83877869. The next prime is 83877877. The reversal of 83877872 is 27877838.

It is a super-2 number, since 2×83877872² = 14070994822496768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83877872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83877877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425678 + ... + 425874.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^83877872 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 83877872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

83877872 is an abundant number, since it is smaller than the sum of its proper divisors (101735248).

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

83877872 is a wasteful number, since it uses less digits than its factorization.

83877872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 50.

The square root of 83877872 is about 9158.4863378181. The cubic root of 83877872 is about 437.7395642523.

The spelling of 83877872 in words is "eighty-three million, eight hundred seventy-seven thousand, eight hundred seventy-two".