83312880 has 160 divisors (see below), whose sum is σ = 298695168. Its totient is φ = 18816000.

The previous prime is 83312839. The next prime is 83312881. The reversal of 83312880 is 8821338.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83312881) 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 31 ways as a sum of consecutive naturals, for example, 169435 + ... + 169925.

Almost surely, 2^83312880 is an apocalyptic number.

83312880 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 83312880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149347584).

83312880 is an abundant number, since it is smaller than the sum of its proper divisors (215382288).

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

83312880 is a wasteful number, since it uses less digits than its factorization.

83312880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 83312880 is about 9127.5889478000. The cubic root of 83312880 is about 436.7544941793.

It can be divided in two parts, 8331 and 2880, that added together give a palindrome (11211).

The spelling of 83312880 in words is "eighty-three million, three hundred twelve thousand, eight hundred eighty".