84789120 has 256 divisors, whose sum is σ = 301593600. Its totient is φ = 20127744.

The previous prime is 84789119. The next prime is 84789121. The reversal of 84789120 is 2198748.

It is an interprime number because it is at equal distance from previous prime (84789119) and next prime (84789121).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84789121) 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 31 ways as a sum of consecutive naturals, for example, 1073241 + ... + 1073319.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^84789120 is an apocalyptic number.

84789120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

84789120 is an abundant number, since it is smaller than the sum of its proper divisors (216804480).

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

84789120 is a wasteful number, since it uses less digits than its factorization.

84789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 84789120 is about 9208.1007813772. The cubic root of 84789120 is about 439.3190569104.

The spelling of 84789120 in words is "eighty-four million, seven hundred eighty-nine thousand, one hundred twenty".