84040800 has 216 divisors, whose sum is σ = 291684456. Its totient is φ = 21012480.

The previous prime is 84040793. The next prime is 84040807. The reversal of 84040800 is 804048.

It is an interprime number because it is at equal distance from previous prime (84040793) and next prime (84040807).

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 (84040807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866352 + ... + 866448.

It is an arithmetic number, because the mean of its divisors is an integer number (1350391).

Almost surely, 2^84040800 is an apocalyptic number.

84040800 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 84040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145842228).

84040800 is an abundant number, since it is smaller than the sum of its proper divisors (207643656).

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

84040800 is a wasteful number, since it uses less digits than its factorization.

84040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

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

The square root of 84040800 is about 9167.3769421793. The cubic root of 84040800 is about 438.0228090121.

Adding to 84040800 its reverse (804048), we get a palindrome (84844848).

The spelling of 84040800 in words is "eighty-four million, forty thousand, eight hundred".