83738880 has 144 divisors (see below), whose sum is σ = 297279360. Its totient is φ = 22321152.

The previous prime is 83738869. The next prime is 83738899. The reversal of 83738880 is 8883738.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33349 + ... + 35771.

It is an arithmetic number, because the mean of its divisors is an integer number (2064440).

Almost surely, 2^83738880 is an apocalyptic number.

83738880 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 83738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148639680).

83738880 is an abundant number, since it is smaller than the sum of its proper divisors (213540480).

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

83738880 is a wasteful number, since it uses less digits than its factorization.

83738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 83738880 is about 9150.8950381916. The cubic root of 83738880 is about 437.4976413478.

The spelling of 83738880 in words is "eighty-three million, seven hundred thirty-eight thousand, eight hundred eighty".