78281320 has 64 divisors (see below), whose sum is σ = 193777920. Its totient is φ = 28280064.

The previous prime is 78281297. The next prime is 78281321. The reversal of 78281320 is 2318287.

It is a super-2 number, since 2×78281320² = 12255930121884800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78281321) by changing a digit.

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, 22839 + ... + 26041.

It is an arithmetic number, because the mean of its divisors is an integer number (3027780).

Almost surely, 2^78281320 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 78281320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96888960).

78281320 is an abundant number, since it is smaller than the sum of its proper divisors (115496600).

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

78281320 is a wasteful number, since it uses less digits than its factorization.

78281320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 78281320 is about 8847.6731404364. The cubic root of 78281320 is about 427.7789203820.

The spelling of 78281320 in words is "seventy-eight million, two hundred eighty-one thousand, three hundred twenty".