78304016 has 80 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 30741120.

The previous prime is 78304013. The next prime is 78304019. The reversal of 78304016 is 61040387.

It is an interprime number because it is at equal distance from previous prime (78304013) and next prime (78304019).

It is a super-2 number, since 2×78304016² = 12263037843456512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78304016.

It is not an unprimeable number, because it can be changed into a prime (78304013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65375 + ... + 66561.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^78304016 is an apocalyptic number.

78304016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

78304016 is an abundant number, since it is smaller than the sum of its proper divisors (110255344).

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

78304016 is a wasteful number, since it uses less digits than its factorization.

78304016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 78304016 is about 8848.9556445945. The cubic root of 78304016 is about 427.8202581802.

The spelling of 78304016 in words is "seventy-eight million, three hundred four thousand, sixteen".