76800200 has 24 divisors (see below), whose sum is σ = 178560930. Its totient is φ = 30720000.

The previous prime is 76800179. The next prime is 76800211. The reversal of 76800200 is 200867.

It can be written as a sum of positive squares in 3 ways, for example, as 71537764 + 5262436 = 8458^2 + 2294^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 191801 + ... + 192200.

Almost surely, 2^76800200 is an apocalyptic number.

It is an amenable number.

76800200 is an abundant number, since it is smaller than the sum of its proper divisors (101760730).

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

76800200 is a wasteful number, since it uses less digits than its factorization.

76800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384017 (or 384008 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 76800200 is about 8763.5723309618. The cubic root of 76800200 is about 425.0637966514.

The spelling of 76800200 in words is "seventy-six million, eight hundred thousand, two hundred".