84807200 has 72 divisors (see below), whose sum is σ = 208392912. Its totient is φ = 33701120.

The previous prime is 84807181. The next prime is 84807209. The reversal of 84807200 is 270848.

It is a super-2 number, since 2×84807200² = 14384522343680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84807209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181367 + ... + 181833.

It is an arithmetic number, because the mean of its divisors is an integer number (2894346).

Almost surely, 2^84807200 is an apocalyptic number.

84807200 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 84807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196456).

84807200 is an abundant number, since it is smaller than the sum of its proper divisors (123585712).

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

84807200 is a wasteful number, since it uses less digits than its factorization.

84807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 84807200 is about 9209.0824732978. The cubic root of 84807200 is about 439.3502807437.

The spelling of 84807200 in words is "eighty-four million, eight hundred seven thousand, two hundred".