78102080 has 168 divisors, whose sum is σ = 229852728. Its totient is φ = 25116672.

The previous prime is 78102071. The next prime is 78102091. The reversal of 78102080 is 8020187.

It can be written as a sum of positive squares in 4 ways, for example, as 35904064 + 42198016 = 5992^2 + 6496^2 .

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, 266414 + ... + 266706.

It is an arithmetic number, because the mean of its divisors is an integer number (1368171).

Almost surely, 2^78102080 is an apocalyptic number.

78102080 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 78102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114926364).

78102080 is an abundant number, since it is smaller than the sum of its proper divisors (151750648).

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

78102080 is a wasteful number, since it uses less digits than its factorization.

78102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 78102080 is about 8837.5381187297. The cubic root of 78102080 is about 427.4521770883.

The spelling of 78102080 in words is "seventy-eight million, one hundred two thousand, eighty".