83327440 has 120 divisors (see below), whose sum is σ = 233456040. Its totient is φ = 27546624.

The previous prime is 83327389. The next prime is 83327449. The reversal of 83327440 is 4472338.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 52591504 = 5544^2 + 7252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83327449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113314 + ... + 114046.

It is an arithmetic number, because the mean of its divisors is an integer number (1945467).

Almost surely, 2^83327440 is an apocalyptic number.

83327440 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 83327440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116728020).

83327440 is an abundant number, since it is smaller than the sum of its proper divisors (150128600).

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

83327440 is a wasteful number, since it uses less digits than its factorization.

83327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 83327440 is about 9128.3864948851. The cubic root of 83327440 is about 436.7799355237.

Adding to 83327440 its reverse (4472338), we get a palindrome (87799778).

The spelling of 83327440 in words is "eighty-three million, three hundred twenty-seven thousand, four hundred forty".