78760320 has 256 divisors, whose sum is σ = 282009600. Its totient is φ = 18579456.

The previous prime is 78760307. The next prime is 78760321. The reversal of 78760320 is 2306787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78760321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620097 + ... + 620223.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^78760320 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 78760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

78760320 is an abundant number, since it is smaller than the sum of its proper divisors (203249280).

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

78760320 is a wasteful number, since it uses less digits than its factorization.

78760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 78760320 is about 8874.7011217280. The cubic root of 78760320 is about 428.6496669861.

The spelling of 78760320 in words is "seventy-eight million, seven hundred sixty thousand, three hundred twenty".