83842880 has 56 divisors (see below), whose sum is σ = 217810080. Its totient is φ = 30487040.

The previous prime is 83842849. The next prime is 83842883. The reversal of 83842880 is 8824838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83842883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8390 + ... + 15429.

Almost surely, 2^83842880 is an apocalyptic number.

83842880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83842880 is an abundant number, since it is smaller than the sum of its proper divisors (133967200).

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

83842880 is a wasteful number, since it uses less digits than its factorization.

83842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23847 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 83842880 is about 9156.5757791873. The cubic root of 83842880 is about 437.6786840186.

The spelling of 83842880 in words is "eighty-three million, eight hundred forty-two thousand, eight hundred eighty".