83380440 has 256 divisors, whose sum is σ = 303367680. Its totient is φ = 18063360.

The previous prime is 83380433. The next prime is 83380469. The reversal of 83380440 is 4408338.

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 = 83380398 and 83380407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737824 + ... + 737936.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 2^83380440 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 83380440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

83380440 is an abundant number, since it is smaller than the sum of its proper divisors (219987240).

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

83380440 is a wasteful number, since it uses less digits than its factorization.

83380440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83380440 is about 9131.2890656249. The cubic root of 83380440 is about 436.8725197925.

Adding to 83380440 its reverse (4408338), we get a palindrome (87788778).

The spelling of 83380440 in words is "eighty-three million, three hundred eighty thousand, four hundred forty".