80210000 has 100 divisors (see below), whose sum is σ = 209473572. Its totient is φ = 29568000.

The previous prime is 80209973. The next prime is 80210021. The reversal of 80210000 is 1208.

It can be written as a sum of positive squares in 10 ways, for example, as 80209936 + 64 = 8956^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129692 + ... + 130308.

Almost surely, 2^80210000 is an apocalyptic number.

80210000 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 80210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104736786).

80210000 is an abundant number, since it is smaller than the sum of its proper divisors (129263572).

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

80210000 is a wasteful number, since it uses less digits than its factorization.

80210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 80210000 is about 8956.0035730230. The cubic root of 80210000 is about 431.2636346596.

Adding to 80210000 its reverse (1208), we get a palindrome (80211208).

The spelling of 80210000 in words is "eighty million, two hundred ten thousand".