78816450 has 48 divisors (see below), whose sum is σ = 196612416. Its totient is φ = 20894400.

The previous prime is 78816449. The next prime is 78816467. The reversal of 78816450 is 5461887.

It is a super-3 number, since 3×78816450³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 78816399 and 78816408.

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 23 ways as a sum of consecutive naturals, for example, 25699 + ... + 28601.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2^78816450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78816450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

78816450 is an abundant number, since it is smaller than the sum of its proper divisors (117795966).

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

78816450 is a wasteful number, since it uses less digits than its factorization.

78816450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 78816450 is about 8877.8629185182. The cubic root of 78816450 is about 428.7514711790.

The spelling of 78816450 in words is "seventy-eight million, eight hundred sixteen thousand, four hundred fifty".