83321760 has 96 divisors (see below), whose sum is σ = 277929792. Its totient is φ = 20910080.

The previous prime is 83321759. The next prime is 83321789. The reversal of 83321760 is 6712338.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3055 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (2895102).

Almost surely, 2^83321760 is an apocalyptic number.

83321760 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 83321760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138964896).

83321760 is an abundant number, since it is smaller than the sum of its proper divisors (194608032).

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

83321760 is a wasteful number, since it uses less digits than its factorization.

83321760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10246 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 83321760 is about 9128.0753721691. The cubic root of 83321760 is about 436.7700109562.

The spelling of 83321760 in words is "eighty-three million, three hundred twenty-one thousand, seven hundred sixty".