82278144 has 216 divisors, whose sum is σ = 265613712. Its totient is φ = 24330240.

The previous prime is 82278139. The next prime is 82278167. The reversal of 82278144 is 44187228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82278099 and 82278108.

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 23 ways as a sum of consecutive naturals, for example, 1227999 + ... + 1228065.

Almost surely, 2^82278144 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 82278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132806856).

82278144 is an abundant number, since it is smaller than the sum of its proper divisors (183335568).

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

82278144 is a wasteful number, since it uses less digits than its factorization.

82278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 82278144 is about 9070.7300698455. The cubic root of 82278144 is about 434.9388102595.

The spelling of 82278144 in words is "eighty-two million, two hundred seventy-eight thousand, one hundred forty-four".