78968480 has 48 divisors (see below), whose sum is σ = 189146664. Its totient is φ = 31150080.

The previous prime is 78968437. The next prime is 78968509. The reversal of 78968480 is 8486987.

It can be written as a sum of positive squares in 4 ways, for example, as 73342096 + 5626384 = 8564^2 + 2372^2 .

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 7 ways as a sum of consecutive naturals, for example, 8300 + ... + 15060.

Almost surely, 2^78968480 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 78968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94573332).

78968480 is an abundant number, since it is smaller than the sum of its proper divisors (110178184).

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

78968480 is a wasteful number, since it uses less digits than its factorization.

78968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 78968480 is about 8886.4211018835. The cubic root of 78968480 is about 429.0269687442.

The spelling of 78968480 in words is "seventy-eight million, nine hundred sixty-eight thousand, four hundred eighty".