84727776 has 96 divisors (see below), whose sum is σ = 258612480. Its totient is φ = 23786496.

The previous prime is 84727723. The next prime is 84727781. The reversal of 84727776 is 67772748.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38580 + ... + 40716.

It is an arithmetic number, because the mean of its divisors is an integer number (2693880).

Almost surely, 2^84727776 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 84727776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129306240).

84727776 is an abundant number, since it is smaller than the sum of its proper divisors (173884704).

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

84727776 is a wasteful number, since it uses less digits than its factorization.

84727776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2208 counting only the distinct ones).

The product of its digits is 921984, while the sum is 48.

The square root of 84727776 is about 9204.7691986274. The cubic root of 84727776 is about 439.2130838402.

The spelling of 84727776 in words is "eighty-four million, seven hundred twenty-seven thousand, seven hundred seventy-six".