78286020 has 192 divisors, whose sum is σ = 250822656. Its totient is φ = 18135040.

The previous prime is 78286001. The next prime is 78286049. The reversal of 78286020 is 2068287.

It is a super-2 number, since 2×78286020² = 12257401854880800, which contains 22 as substring.

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, 1102585 + ... + 1102655.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 2^78286020 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 78286020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

78286020 is an abundant number, since it is smaller than the sum of its proper divisors (172536636).

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

78286020 is a wasteful number, since it uses less digits than its factorization.

78286020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78286020 is about 8847.9387430068. The cubic root of 78286020 is about 427.7874814738.

The spelling of 78286020 in words is "seventy-eight million, two hundred eighty-six thousand, twenty".