82730160 has 200 divisors, whose sum is σ = 304641216. Its totient is φ = 20736000.

The previous prime is 82730129. The next prime is 82730189. The reversal of 82730160 is 6103728.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109785 + ... + 110535.

Almost surely, 2^82730160 is an apocalyptic number.

82730160 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 82730160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152320608).

82730160 is an abundant number, since it is smaller than the sum of its proper divisors (221911056).

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

82730160 is a wasteful number, since it uses less digits than its factorization.

82730160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 82730160 is about 9095.6121289334. The cubic root of 82730160 is about 435.7338386178.

Adding to 82730160 its reverse (6103728), we get a palindrome (88833888).

The spelling of 82730160 in words is "eighty-two million, seven hundred thirty thousand, one hundred sixty".