84312800 has 216 divisors, whose sum is σ = 247281048. Its totient is φ = 27878400.

The previous prime is 84312799. The next prime is 84312817. The reversal of 84312800 is 821348.

84312800 = 122³ + 123³ + ... + 153³.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 84312800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1258367 + ... + 1258433.

Almost surely, 2^84312800 is an apocalyptic number.

84312800 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 84312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123640524).

84312800 is an abundant number, since it is smaller than the sum of its proper divisors (162968248).

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

84312800 is a wasteful number, since it uses less digits than its factorization.

84312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 84312800 is about 9182.2001720721. The cubic root of 84312800 is about 438.4948571093.

The spelling of 84312800 in words is "eighty-four million, three hundred twelve thousand, eight hundred".