78810816 has 84 divisors (see below), whose sum is σ = 242593368. Its totient is φ = 22514688.

The previous prime is 78810799. The next prime is 78810829. The reversal of 78810816 is 61801887.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×78810816² = 12422289437171712, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5220 + ... + 13596.

Almost surely, 2^78810816 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 78810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121296684).

78810816 is an abundant number, since it is smaller than the sum of its proper divisors (163782552).

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

78810816 is a wasteful number, since it uses less digits than its factorization.

78810816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 78810816 is about 8877.5456067542. The cubic root of 78810816 is about 428.7412548543.

The spelling of 78810816 in words is "seventy-eight million, eight hundred ten thousand, eight hundred sixteen".