83388880 has 40 divisors (see below), whose sum is σ = 195300000. Its totient is φ = 33111168.

The previous prime is 83388841. The next prime is 83388887. The reversal of 83388880 is 8888338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 83388880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83388887) 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 7 ways as a sum of consecutive naturals, for example, 7371 + ... + 14869.

It is an arithmetic number, because the mean of its divisors is an integer number (4882500).

Almost surely, 2^83388880 is an apocalyptic number.

83388880 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 83388880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650000).

83388880 is an abundant number, since it is smaller than the sum of its proper divisors (111911120).

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

83388880 is a wasteful number, since it uses less digits than its factorization.

83388880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 83388880 is about 9131.7512011662. The cubic root of 83388880 is about 436.8872597789.

The spelling of 83388880 in words is "eighty-three million, three hundred eighty-eight thousand, eight hundred eighty".