84795480 has 576 divisors, whose sum is σ = 384134400. Its totient is φ = 15966720.

The previous prime is 84795463. The next prime is 84795481. The reversal of 84795480 is 8459748.

84795480 is a `hidden beast` number, since 84 + 7 + 95 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84795481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3686749 + ... + 3686771.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^84795480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84795480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

84795480 is an abundant number, since it is smaller than the sum of its proper divisors (299338920).

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

84795480 is a wasteful number, since it uses less digits than its factorization.

84795480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 84795480 is about 9208.4461229895. The cubic root of 84795480 is about 439.3300410215.

The spelling of 84795480 in words is "eighty-four million, seven hundred ninety-five thousand, four hundred eighty".