78416 has 30 divisors (see below), whose sum is σ = 170190. Its totient is φ = 34944.

The previous prime is 78401. The next prime is 78427. The reversal of 78416 is 61487.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 78400 = 4^2 + 280^2 .

It is a super-2 number, since 2×78416² = 12298138112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

78416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2690 + ... + 2718.

It is an arithmetic number, because the mean of its divisors is an integer number (5673).

2⁷⁸⁴¹⁶ 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 78416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85095).

78416 is an abundant number, since it is smaller than the sum of its proper divisors (91774).

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

78416 is a wasteful number, since it uses less digits than its factorization.

78416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 78416 is about 280.0285699710. The cubic root of 78416 is about 42.8024105551.

It can be divided in two parts, 784 and 16, that multiplied together give a square (12544 = 112²).

The spelling of 78416 in words is "seventy-eight thousand, four hundred sixteen".