78284256 has 96 divisors (see below), whose sum is σ = 218453760. Its totient is φ = 24477696.

The previous prime is 78284243. The next prime is 78284263. The reversal of 78284256 is 65248287.

It is a happy number.

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

It is a super-3 number, since 3×78284256³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (215040) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 304480 + ... + 304736.

It is an arithmetic number, because the mean of its divisors is an integer number (2275560).

Almost surely, 2^78284256 is an apocalyptic number.

78284256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109226880).

78284256 is an abundant number, since it is smaller than the sum of its proper divisors (140169504).

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

78284256 is a wasteful number, since it uses less digits than its factorization.

78284256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 78284256 is about 8847.8390582108. The cubic root of 78284256 is about 427.7842683722.

The spelling of 78284256 in words is "seventy-eight million, two hundred eighty-four thousand, two hundred fifty-six".