82730000 has 50 divisors (see below), whose sum is σ = 200321814. Its totient is φ = 33088000.

The previous prime is 82729993. The next prime is 82730003. The reversal of 82730000 is 3728.

It can be written as a sum of positive squares in 5 ways, for example, as 21827584 + 60902416 = 4672^2 + 7804^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (82730003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5864 + ... + 14136.

Almost surely, 2^82730000 is an apocalyptic number.

82730000 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 82730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100160907).

82730000 is an abundant number, since it is smaller than the sum of its proper divisors (117591814).

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

82730000 is an equidigital number, since it uses as much as digits as its factorization.

82730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 82730000 is about 9095.6033334793. The cubic root of 82730000 is about 435.7335577148.

Adding to 82730000 its reverse (3728), we get a palindrome (82733728).

The spelling of 82730000 in words is "eighty-two million, seven hundred thirty thousand".