80460900 has 243 divisors, whose sum is σ = 285482379. Its totient is φ = 18944640.

The previous prime is 80460893. The next prime is 80460911. The reversal of 80460900 is 906408.

The square root of 80460900 is 8970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 59721984 = 4554^2 + 7728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3498289 + ... + 3498311.

Almost surely, 2^80460900 is an apocalyptic number.

80460900 is the 8970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80460900

80460900 is an abundant number, since it is smaller than the sum of its proper divisors (205021479).

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

80460900 is a wasteful number, since it uses less digits than its factorization.

80460900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 80460900 is about 431.7128364193.

The spelling of 80460900 in words is "eighty million, four hundred sixty thousand, nine hundred".