83287680 has 128 divisors (see below), whose sum is σ = 303454080. Its totient is φ = 19034112.

The previous prime is 83287679. The next prime is 83287717. The reversal of 83287680 is 8678238.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10342 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (2370735).

Almost surely, 2^83287680 is an apocalyptic number.

83287680 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 83287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151727040).

83287680 is an abundant number, since it is smaller than the sum of its proper divisors (220166400).

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

83287680 is a wasteful number, since it uses less digits than its factorization.

83287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 83287680 is about 9126.2084131363. The cubic root of 83287680 is about 436.7104540775.

The spelling of 83287680 in words is "eighty-three million, two hundred eighty-seven thousand, six hundred eighty".