84380400 has 240 divisors, whose sum is σ = 323972320. Its totient is φ = 20736000.

The previous prime is 84380393. The next prime is 84380407. The reversal of 84380400 is 408348.

It is an interprime number because it is at equal distance from previous prime (84380393) and next prime (84380407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84380407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140100 + ... + 140700.

Almost surely, 2^84380400 is an apocalyptic number.

84380400 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 84380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161986160).

84380400 is an abundant number, since it is smaller than the sum of its proper divisors (239591920).

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

84380400 is a wasteful number, since it uses less digits than its factorization.

84380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84380400 is about 9185.8804695032. The cubic root of 84380400 is about 438.6120173891.

Adding to 84380400 its reverse (408348), we get a palindrome (84788748).

The spelling of 84380400 in words is "eighty-four million, three hundred eighty thousand, four hundred".