78313920 has 168 divisors, whose sum is σ = 260171184. Its totient is φ = 19955712.

The previous prime is 78313909. The next prime is 78313927. The reversal of 78313920 is 2931387.

It is a super-2 number, since 2×78313920² = 12266140131532800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78313927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807312 + ... + 807408.

It is an arithmetic number, because the mean of its divisors is an integer number (1548638).

Almost surely, 2^78313920 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 78313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130085592).

78313920 is an abundant number, since it is smaller than the sum of its proper divisors (181857264).

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

78313920 is a wasteful number, since it uses less digits than its factorization.

78313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 78313920 is about 8849.5152409609. The cubic root of 78313920 is about 427.8382945187.

The spelling of 78313920 in words is "seventy-eight million, three hundred thirteen thousand, nine hundred twenty".