84789400 has 96 divisors (see below), whose sum is σ = 211928400. Its totient is φ = 31449600.

The previous prime is 84789379. The next prime is 84789401. The reversal of 84789400 is 498748.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84789401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 201190 + ... + 201610.

Almost surely, 2^84789400 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 84789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105964200).

84789400 is an abundant number, since it is smaller than the sum of its proper divisors (127139000).

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

84789400 is a wasteful number, since it uses less digits than its factorization.

84789400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 84789400 is about 9208.1159853686. The cubic root of 84789400 is about 439.3195404991.

The spelling of 84789400 in words is "eighty-four million, seven hundred eighty-nine thousand, four hundred".