84778164 has 60 divisors (see below), whose sum is σ = 225854244. Its totient is φ = 27720576.

The previous prime is 84778157. The next prime is 84778193. The reversal of 84778164 is 46187748.

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 35497764 = 7020^2 + 5958^2 .

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 19 ways as a sum of consecutive naturals, for example, 14704 + ... + 19640.

Almost surely, 2^84778164 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 84778164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112927122).

84778164 is an abundant number, since it is smaller than the sum of its proper divisors (141076080).

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

84778164 is a wasteful number, since it uses less digits than its factorization.

84778164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4995 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 84778164 is about 9207.5058512064. The cubic root of 84778164 is about 439.3001339365.

It can be divided in two parts, 8477 and 8164, that added together give a square (16641 = 129²).

The spelling of 84778164 in words is "eighty-four million, seven hundred seventy-eight thousand, one hundred sixty-four".