84788100 has 144 divisors (see below), whose sum is σ = 281648640. Its totient is φ = 21859200.

The previous prime is 84788087. The next prime is 84788111. The reversal of 84788100 is 188748.

It is a super-2 number, since 2×84788100² = 14378043803220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 83194 + ... + 84206.

Almost surely, 2^84788100 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 84788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824320).

84788100 is an abundant number, since it is smaller than the sum of its proper divisors (196860540).

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

84788100 is a wasteful number, since it uses less digits than its factorization.

84788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 84788100 is about 9208.0453951965. The cubic root of 84788100 is about 439.3172952565.

The spelling of 84788100 in words is "eighty-four million, seven hundred eighty-eight thousand, one hundred".