83079360 has 336 divisors, whose sum is σ = 352812096. Its totient is φ = 17473536.

The previous prime is 83079341. The next prime is 83079361. The reversal of 83079360 is 6397038.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83079361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261922 + ... + 262238.

It is an arithmetic number, because the mean of its divisors is an integer number (1050036).

Almost surely, 2^83079360 is an apocalyptic number.

83079360 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 83079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176406048).

83079360 is an abundant number, since it is smaller than the sum of its proper divisors (269732736).

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

83079360 is a wasteful number, since it uses less digits than its factorization.

83079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 83079360 is about 9114.7879843691. The cubic root of 83079360 is about 436.3460485335.

The spelling of 83079360 in words is "eighty-three million, seventy-nine thousand, three hundred sixty".