78416856 has 192 divisors, whose sum is σ = 262656000. Its totient is φ = 21591360.

The previous prime is 78416843. The next prime is 78416861. The reversal of 78416856 is 65861487.

It is a happy number.

It is a super-2 number, since 2×78416856² = 12298406609849472, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 327985 + ... + 328223.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^78416856 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 78416856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

78416856 is an abundant number, since it is smaller than the sum of its proper divisors (184239144).

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

78416856 is a wasteful number, since it uses less digits than its factorization.

78416856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78416856 is about 8855.3292428910. The cubic root of 78416856 is about 428.0256630025.

The spelling of 78416856 in words is "seventy-eight million, four hundred sixteen thousand, eight hundred fifty-six".