78316416 has 256 divisors, whose sum is σ = 258508800. Its totient is φ = 23224320.

The previous prime is 78316411. The next prime is 78316417. The reversal of 78316416 is 61461387.

78316416 is a `hidden beast` number, since 7 + 8 + 3 + 1 + 641 + 6 = 666.

It is a super-2 number, since 2×78316416² = 12266922030170112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (24192) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78316411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821291 + ... + 1821333.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^78316416 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 78316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129254400).

78316416 is an abundant number, since it is smaller than the sum of its proper divisors (180192384).

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

78316416 is a wasteful number, since it uses less digits than its factorization.

78316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 78316416 is about 8849.6562645111. The cubic root of 78316416 is about 427.8428397857.

The spelling of 78316416 in words is "seventy-eight million, three hundred sixteen thousand, four hundred sixteen".