78255720 has 192 divisors, whose sum is σ = 269680320. Its totient is φ = 20404224.

The previous prime is 78255713. The next prime is 78255721. The reversal of 78255720 is 2755287.

78255720 is a `hidden beast` number, since 7 + 82 + 5 + 572 + 0 = 666.

It is a super-2 number, since 2×78255720² = 12247915425436800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78255721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 806712 + ... + 806808.

It is an arithmetic number, because the mean of its divisors is an integer number (1404585).

Almost surely, 2^78255720 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 78255720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840160).

78255720 is an abundant number, since it is smaller than the sum of its proper divisors (191424600).

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

78255720 is a wasteful number, since it uses less digits than its factorization.

78255720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 78255720 is about 8846.2263140844. The cubic root of 78255720 is about 427.7322837372.

The spelling of 78255720 in words is "seventy-eight million, two hundred fifty-five thousand, seven hundred twenty".