83200080 has 40 divisors (see below), whose sum is σ = 257920992. Its totient is φ = 22186624.

The previous prime is 83200079. The next prime is 83200093. The reversal of 83200080 is 8000238.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 173094 + ... + 173573.

Almost surely, 2^83200080 is an apocalyptic number.

83200080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83200080 is an abundant number, since it is smaller than the sum of its proper divisors (174720912).

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

83200080 is a wasteful number, since it uses less digits than its factorization.

83200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346683 (or 346677 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83200080 is about 9121.4077860821. The cubic root of 83200080 is about 436.5572931466.

The spelling of 83200080 in words is "eighty-three million, two hundred thousand, eighty".