84304800 has 180 divisors, whose sum is σ = 307679526. Its totient is φ = 22464000.

The previous prime is 84304799. The next prime is 84304807. The reversal of 84304800 is 840348.

It can be written as a sum of positive squares in 3 ways, for example, as 31945104 + 52359696 = 5652^2 + 7236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (84304807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64150 + ... + 65450.

Almost surely, 2^84304800 is an apocalyptic number.

84304800 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 84304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153839763).

84304800 is an abundant number, since it is smaller than the sum of its proper divisors (223374726).

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

84304800 is a wasteful number, since it uses less digits than its factorization.

84304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1311 counting only the distinct ones).

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

The square root of 84304800 is about 9181.7645362969. The cubic root of 84304800 is about 438.4809878438.

The spelling of 84304800 in words is "eighty-four million, three hundred four thousand, eight hundred".