78510460 has 48 divisors (see below), whose sum is σ = 190572480. Its totient is φ = 26611200.

The previous prime is 78510427. The next prime is 78510469. The reversal of 78510460 is 6401587.

78510460 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

78510460 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78510469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9310 + ... + 15610.

It is an arithmetic number, because the mean of its divisors is an integer number (3970260).

Almost surely, 2^78510460 is an apocalyptic number.

78510460 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 78510460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95286240).

78510460 is an abundant number, since it is smaller than the sum of its proper divisors (112062020).

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

78510460 is a wasteful number, since it uses less digits than its factorization.

78510460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 78510460 is about 8860.6128456219. The cubic root of 78510460 is about 428.1959026904.

The spelling of 78510460 in words is "seventy-eight million, five hundred ten thousand, four hundred sixty".