83876100 has 144 divisors (see below), whose sum is σ = 302647296. Its totient is φ = 17424000.

The previous prime is 83876081. The next prime is 83876129. The reversal of 83876100 is 167838.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21285 + ... + 24915.

Almost surely, 2^83876100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83876100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151323648).

83876100 is an abundant number, since it is smaller than the sum of its proper divisors (218771196).

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

83876100 is a wasteful number, since it uses less digits than its factorization.

83876100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 83876100 is about 9158.3895964301. The cubic root of 83876100 is about 437.7364816754.

The spelling of 83876100 in words is "eighty-three million, eight hundred seventy-six thousand, one hundred".