83042880 has 112 divisors (see below), whose sum is σ = 275197824. Its totient is φ = 21176320.

The previous prime is 83042879. The next prime is 83042929. The reversal of 83042880 is 8824038.

It is a super-2 number, since 2×83042880² = 13792239837388800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20200 + ... + 23960.

Almost surely, 2^83042880 is an apocalyptic number.

83042880 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 83042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137598912).

83042880 is an abundant number, since it is smaller than the sum of its proper divisors (192154944).

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

83042880 is a wasteful number, since it uses less digits than its factorization.

83042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 83042880 is about 9112.7866210068. The cubic root of 83042880 is about 436.2821729241.

The spelling of 83042880 in words is "eighty-three million, forty-two thousand, eight hundred eighty".