84004800 has 336 divisors, whose sum is σ = 315967872. Its totient is φ = 19353600.

The previous prime is 84004799. The next prime is 84004807. The reversal of 84004800 is 840048.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84004807) 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 47 ways as a sum of consecutive naturals, for example, 1953579 + ... + 1953621.

Almost surely, 2^84004800 is an apocalyptic number.

84004800 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 84004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157983936).

84004800 is an abundant number, since it is smaller than the sum of its proper divisors (231963072).

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

84004800 is a wasteful number, since it uses less digits than its factorization.

84004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84004800 is about 9165.4132476392. The cubic root of 84004800 is about 437.9602557711.

Adding to 84004800 its reverse (840048), we get a palindrome (84844848).

Multiplying 84004800 by its reverse (840048), we get a square (70568064230400 = 8400480²).

84004800 divided by its reverse (840048) gives a square (100 = 10²).

The spelling of 84004800 in words is "eighty-four million, four thousand, eight hundred".