83760240 has 80 divisors (see below), whose sum is σ = 260840448. Its totient is φ = 22234368.

The previous prime is 83760223. The next prime is 83760247. The reversal of 83760240 is 4206738.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83760198 and 83760207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83760247) 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 15 ways as a sum of consecutive naturals, for example, 62457 + ... + 63783.

Almost surely, 2^83760240 is an apocalyptic number.

83760240 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 83760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130420224).

83760240 is an abundant number, since it is smaller than the sum of its proper divisors (177080208).

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

83760240 is a wasteful number, since it uses less digits than its factorization.

83760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 83760240 is about 9152.0620627266. The cubic root of 83760240 is about 437.5348369538.

Adding to 83760240 its reverse (4206738), we get a palindrome (87966978).

The spelling of 83760240 in words is "eighty-three million, seven hundred sixty thousand, two hundred forty".