84400400 has 120 divisors (see below), whose sum is σ = 237466944. Its totient is φ = 28224000.

The previous prime is 84400399. The next prime is 84400403. The reversal of 84400400 is 400448.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (84400403) 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, 120050 + ... + 120750.

Almost surely, 2^84400400 is an apocalyptic number.

84400400 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 84400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118733472).

84400400 is an abundant number, since it is smaller than the sum of its proper divisors (153066544).

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

84400400 is a wasteful number, since it uses less digits than its factorization.

84400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 84400400 is about 9186.9690322761. The cubic root of 84400400 is about 438.6466681981.

Adding to 84400400 its reverse (400448), we get a palindrome (84800848).

The spelling of 84400400 in words is "eighty-four million, four hundred thousand, four hundred".