78185856 has 256 divisors, whose sum is σ = 264384000. Its totient is φ = 19955712.

The previous prime is 78185803. The next prime is 78185857. The reversal of 78185856 is 65858187.

It is a super-2 number, since 2×78185856² = 12226056156905472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78185857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325155 + ... + 1325213.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^78185856 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 78185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

78185856 is an abundant number, since it is smaller than the sum of its proper divisors (186198144).

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

78185856 is a wasteful number, since it uses less digits than its factorization.

78185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The square root of 78185856 is about 8842.2766299183. The cubic root of 78185856 is about 427.6049576429.

The spelling of 78185856 in words is "seventy-eight million, one hundred eighty-five thousand, eight hundred fifty-six".