78058080 has 240 divisors, whose sum is σ = 290893680. Its totient is φ = 19657728.

The previous prime is 78058069. The next prime is 78058087. The reversal of 78058080 is 8085087.

78058080 is a `hidden beast` number, since 78 + 0 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78058087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246082 + ... + 246398.

It is an arithmetic number, because the mean of its divisors is an integer number (1212057).

Almost surely, 2^78058080 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 78058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145446840).

78058080 is an abundant number, since it is smaller than the sum of its proper divisors (212835600).

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

78058080 is a wasteful number, since it uses less digits than its factorization.

78058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 78058080 is about 8835.0483869643. The cubic root of 78058080 is about 427.3718914382.

The spelling of 78058080 in words is "seventy-eight million, fifty-eight thousand, eighty".