78328320 has 320 divisors, whose sum is σ = 301694976. Its totient is φ = 16957440.

The previous prime is 78328319. The next prime is 78328337. The reversal of 78328320 is 2382387.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×78328320² = 12270651428044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666537 + ... + 1666583.

Almost surely, 2^78328320 is an apocalyptic number.

78328320 is a gapful number since it is divisible by the number (70) 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 78328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847488).

78328320 is an abundant number, since it is smaller than the sum of its proper divisors (223366656).

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

78328320 is a wasteful number, since it uses less digits than its factorization.

78328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 78328320 is about 8850.3288074512. The cubic root of 78328320 is about 427.8645158847.

The spelling of 78328320 in words is "seventy-eight million, three hundred twenty-eight thousand, three hundred twenty".