78564816 has 180 divisors, whose sum is σ = 252129696. Its totient is φ = 23664960.

The previous prime is 78564809. The next prime is 78564823. The reversal of 78564816 is 61846587.

It is a happy number.

78564816 is a `hidden beast` number, since 7 + 8 + 564 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (78564809) and next prime (78564823).

It is a super-2 number, since 2×78564816² = 12344860626227712, 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 35 ways as a sum of consecutive naturals, for example, 470365 + ... + 470531.

Almost surely, 2^78564816 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 78564816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126064848).

78564816 is an abundant number, since it is smaller than the sum of its proper divisors (173564880).

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

78564816 is a wasteful number, since it uses less digits than its factorization.

78564816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

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

The square root of 78564816 is about 8863.6795970974. The cubic root of 78564816 is about 428.2946990679.

The spelling of 78564816 in words is "seventy-eight million, five hundred sixty-four thousand, eight hundred sixteen".