78418016 has 48 divisors (see below), whose sum is σ = 164248560. Its totient is φ = 36748800.

The previous prime is 78417947. The next prime is 78418027. The reversal of 78418016 is 61081487.

It is a super-2 number, since 2×78418016² = 12298770466752512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60770 + ... + 62046.

It is an arithmetic number, because the mean of its divisors is an integer number (3421845).

Almost surely, 2^78418016 is an apocalyptic number.

78418016 is a gapful number since it is divisible by the number (76) 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 78418016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82124280).

78418016 is an abundant number, since it is smaller than the sum of its proper divisors (85830544).

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

78418016 is a wasteful number, since it uses less digits than its factorization.

78418016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 78418016 is about 8855.3947399311. The cubic root of 78418016 is about 428.0277735493.

The spelling of 78418016 in words is "seventy-eight million, four hundred eighteen thousand, sixteen".