82673800 has 48 divisors (see below), whose sum is σ = 209696400. Its totient is φ = 30062400.

The previous prime is 82673783. The next prime is 82673819. The reversal of 82673800 is 837628.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16590 + ... + 20989.

It is an arithmetic number, because the mean of its divisors is an integer number (4368675).

Almost surely, 2^82673800 is an apocalyptic number.

It is an amenable number.

82673800 is an abundant number, since it is smaller than the sum of its proper divisors (127022600).

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

82673800 is a wasteful number, since it uses less digits than its factorization.

82673800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37606 (or 37597 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82673800 is about 9092.5134038944. The cubic root of 82673800 is about 435.6348681095.

The spelling of 82673800 in words is "eighty-two million, six hundred seventy-three thousand, eight hundred".