82900000 has 72 divisors (see below), whose sum is σ = 204244740. Its totient is φ = 33120000.

The previous prime is 82899997. The next prime is 82900019. The reversal of 82900000 is 928.

It can be written as a sum of positive squares in 6 ways, for example, as 8042896 + 74857104 = 2836^2 + 8652^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99586 + ... + 100414.

Almost surely, 2^82900000 is an apocalyptic number.

82900000 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 82900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102122370).

82900000 is an abundant number, since it is smaller than the sum of its proper divisors (121344740).

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

82900000 is an frugal number, since it uses more digits than its factorization.

82900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 82900000 is about 9104.9437120720. The cubic root of 82900000 is about 436.0318131824.

Adding to 82900000 its reverse (928), we get a palindrome (82900928).

The spelling of 82900000 in words is "eighty-two million, nine hundred thousand".