83226880 has 144 divisors (see below), whose sum is σ = 227816064. Its totient is φ = 28835840.

The previous prime is 83226833. The next prime is 83226889. The reversal of 83226880 is 8862238.

It is not an unprimeable number, because it can be changed into a prime (83226889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323712 + ... + 323968.

It is an arithmetic number, because the mean of its divisors is an integer number (1582056).

Almost surely, 2^83226880 is an apocalyptic number.

83226880 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 83226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113908032).

83226880 is an abundant number, since it is smaller than the sum of its proper divisors (144589184).

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

83226880 is a wasteful number, since it uses less digits than its factorization.

83226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 83226880 is about 9122.8767392747. The cubic root of 83226880 is about 436.6041620096.

The spelling of 83226880 in words is "eighty-three million, two hundred twenty-six thousand, eight hundred eighty".