78286320 has 240 divisors, whose sum is σ = 307569600. Its totient is φ = 17837568.

The previous prime is 78286303. The next prime is 78286337. The reversal of 78286320 is 2368287.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78286303) and next prime (78286337).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78286320² = 12257495798284800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 246802 + ... + 247118.

It is an arithmetic number, because the mean of its divisors is an integer number (1281540).

Almost surely, 2^78286320 is an apocalyptic number.

78286320 is a gapful number since it is divisible by the number (70) 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 78286320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153784800).

78286320 is an abundant number, since it is smaller than the sum of its proper divisors (229283280).

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

78286320 is a wasteful number, since it uses less digits than its factorization.

78286320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78286320 is about 8847.9556960916. The cubic root of 78286320 is about 427.7880279148.

It can be divided in two parts, 78286 and 320, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 78286320 in words is "seventy-eight million, two hundred eighty-six thousand, three hundred twenty".