83877120 has 180 divisors, whose sum is σ = 300498660. Its totient is φ = 22339584.

The previous prime is 83877109. The next prime is 83877127. The reversal of 83877120 is 2177838.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 29942784 = 7344^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83877127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103276 + ... + 104084.

It is an arithmetic number, because the mean of its divisors is an integer number (1669437).

Almost surely, 2^83877120 is an apocalyptic number.

83877120 is a gapful number since it is divisible by the number (80) 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 83877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150249330).

83877120 is an abundant number, since it is smaller than the sum of its proper divisors (216621540).

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

83877120 is an equidigital number, since it uses as much as digits as its factorization.

83877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 83877120 is about 9158.4452829069. The cubic root of 83877120 is about 437.7382560760.

The spelling of 83877120 in words is "eighty-three million, eight hundred seventy-seven thousand, one hundred twenty".