84832800 has 144 divisors (see below), whose sum is σ = 297480960. Its totient is φ = 20874240.

The previous prime is 84832793. The next prime is 84832817. The reversal of 84832800 is 823848.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 29841 + ... + 32559.

It is an arithmetic number, because the mean of its divisors is an integer number (2065840).

Almost surely, 2^84832800 is an apocalyptic number.

84832800 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 84832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740480).

84832800 is an abundant number, since it is smaller than the sum of its proper divisors (212648160).

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

84832800 is a wasteful number, since it uses less digits than its factorization.

84832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 84832800 is about 9210.4723005935. The cubic root of 84832800 is about 439.3944838918.

The spelling of 84832800 in words is "eighty-four million, eight hundred thirty-two thousand, eight hundred".