78455520 has 384 divisors, whose sum is σ = 325140480. Its totient is φ = 17418240.

The previous prime is 78455519. The next prime is 78455539. The reversal of 78455520 is 2555487.

It is a happy number.

78455520 is a `hidden beast` number, since 7 + 84 + 55 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 617697 + ... + 617823.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^78455520 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 78455520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

78455520 is an abundant number, since it is smaller than the sum of its proper divisors (246684960).

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

78455520 is a wasteful number, since it uses less digits than its factorization.

78455520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 78455520 is about 8857.5120660375. The cubic root of 78455520 is about 428.0959984972.

The spelling of 78455520 in words is "seventy-eight million, four hundred fifty-five thousand, five hundred twenty".