84120400 has 120 divisors (see below), whose sum is σ = 248845184. Its totient is φ = 26611200.

The previous prime is 84120367. The next prime is 84120433. The reversal of 84120400 is 402148.

84120400 = T₁₇₅ + T₁₇₆ + ... + T₇₉₈.

It is an interprime number because it is at equal distance from previous prime (84120367) and next prime (84120433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35245 + ... + 37555.

Almost surely, 2^84120400 is an apocalyptic number.

84120400 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 84120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124422592).

84120400 is an abundant number, since it is smaller than the sum of its proper divisors (164724784).

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

84120400 is a wasteful number, since it uses less digits than its factorization.

84120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 84120400 is about 9171.7173964313. The cubic root of 84120400 is about 438.1610577886.

Adding to 84120400 its reverse (402148), we get a palindrome (84522548).

The spelling of 84120400 in words is "eighty-four million, one hundred twenty thousand, four hundred".