78388416 has 168 divisors, whose sum is σ = 240755424. Its totient is φ = 24330240.

The previous prime is 78388397. The next prime is 78388417. The reversal of 78388416 is 61488387.

It is a super-2 number, since 2×78388416² = 12289487525978112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78388417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808080 + ... + 808176.

It is an arithmetic number, because the mean of its divisors is an integer number (1433068).

Almost surely, 2^78388416 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 78388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

78388416 is an abundant number, since it is smaller than the sum of its proper divisors (162367008).

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

78388416 is a wasteful number, since it uses less digits than its factorization.

78388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 78388416 is about 8853.7232845849. The cubic root of 78388416 is about 427.9739117065.

The spelling of 78388416 in words is "seventy-eight million, three hundred eighty-eight thousand, four hundred sixteen".