78304320 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 19408896.

The previous prime is 78304319. The next prime is 78304327. The reversal of 78304320 is 2340387.

It is a super-2 number, since 2×78304320² = 12263133061324800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78304327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477414 + ... + 1477466.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^78304320 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 78304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

78304320 is an abundant number, since it is smaller than the sum of its proper divisors (221253120).

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

78304320 is a wasteful number, since it uses less digits than its factorization.

78304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78304320 is about 8848.9728217460. The cubic root of 78304320 is about 427.8208118223.

The spelling of 78304320 in words is "seventy-eight million, three hundred four thousand, three hundred twenty".