83879376 has 120 divisors (see below), whose sum is σ = 265474080. Its totient is φ = 22692096.

The previous prime is 83879371. The next prime is 83879381. The reversal of 83879376 is 67397838.

It is an interprime number because it is at equal distance from previous prime (83879371) and next prime (83879381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83879371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43750 + ... + 45626.

It is an arithmetic number, because the mean of its divisors is an integer number (2212284).

Almost surely, 2^83879376 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 83879376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132737040).

83879376 is an abundant number, since it is smaller than the sum of its proper divisors (181594704).

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

83879376 is a wasteful number, since it uses less digits than its factorization.

83879376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1908 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 83879376 is about 9158.5684470882. The cubic root of 83879376 is about 437.7421805815.

It can be divided in two parts, 83879 and 376, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 83879376 in words is "eighty-three million, eight hundred seventy-nine thousand, three hundred seventy-six".