84776328 has 256 divisors, whose sum is σ = 306432000. Its totient is φ = 21088512.

The previous prime is 84776317. The next prime is 84776371. The reversal of 84776328 is 82367748.

It is a happy number.

84776328 is a `hidden beast` number, since 8 + 4 + 7 + 7 + 632 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 373351 + ... + 373577.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 2^84776328 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 84776328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

84776328 is an abundant number, since it is smaller than the sum of its proper divisors (221655672).

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

84776328 is a wasteful number, since it uses less digits than its factorization.

84776328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 84776328 is about 9207.4061493995. The cubic root of 84776328 is about 439.2969626762.

The spelling of 84776328 in words is "eighty-four million, seven hundred seventy-six thousand, three hundred twenty-eight".