83782900 has 36 divisors (see below), whose sum is σ = 182231392. Its totient is φ = 33435360.

The previous prime is 83782883. The next prime is 83782931. The reversal of 83782900 is 928738.

It is a self number, because there is not a number n which added to its sum of digits gives 83782900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63649 + ... + 64951.

Almost surely, 2^83782900 is an apocalyptic number.

It is an amenable number.

83782900 is an abundant number, since it is smaller than the sum of its proper divisors (98448492).

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

83782900 is a wasteful number, since it uses less digits than its factorization.

83782900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 83782900 is about 9153.2999513837. The cubic root of 83782900 is about 437.5742894254.

The spelling of 83782900 in words is "eighty-three million, seven hundred eighty-two thousand, nine hundred".