78008580 has 288 divisors, whose sum is σ = 282338784. Its totient is φ = 17252352.

The previous prime is 78008573. The next prime is 78008587. The reversal of 78008580 is 8580087.

78008580 is a `hidden beast` number, since 78 + 0 + 0 + 8 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (78008573) and next prime (78008587).

It can be written as a sum of positive squares in 16 ways, for example, as 2214144 + 75794436 = 1488^2 + 8706^2 .

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

78008580 is a modest number, since divided by 8580 gives 7800 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78008587) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1471834 + ... + 1471886.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 2^78008580 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 78008580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

78008580 is an abundant number, since it is smaller than the sum of its proper divisors (204330204).

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

78008580 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (78008579) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (130).

78008580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 130 counting only the distinct ones).

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

The square root of 78008580 is about 8832.2465998182. The cubic root of 78008580 is about 427.2815340106.

The spelling of 78008580 in words is "seventy-eight million, eight thousand, five hundred eighty".