78501280 has 192 divisors, whose sum is σ = 225566208. Its totient is φ = 25436160.

The previous prime is 78501263. The next prime is 78501281. The reversal of 78501280 is 8210587.

It is not an unprimeable number, because it can be changed into a prime (78501281) 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 31 ways as a sum of consecutive naturals, for example, 1075324 + ... + 1075396.

It is an arithmetic number, because the mean of its divisors is an integer number (1174824).

Almost surely, 2^78501280 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 78501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112783104).

78501280 is an abundant number, since it is smaller than the sum of its proper divisors (147064928).

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

78501280 is a wasteful number, since it uses less digits than its factorization.

78501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 78501280 is about 8860.0948076192. The cubic root of 78501280 is about 428.1792128056.

The spelling of 78501280 in words is "seventy-eight million, five hundred one thousand, two hundred eighty".