78286656 has 112 divisors (see below), whose sum is σ = 244490240. Its totient is φ = 21634560.

The previous prime is 78286651. The next prime is 78286673. The reversal of 78286656 is 65668287.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×78286656² = 12257601015324672, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78286651) 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 15 ways as a sum of consecutive naturals, for example, 40725 + ... + 42603.

Almost surely, 2^78286656 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 78286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122245120).

78286656 is an abundant number, since it is smaller than the sum of its proper divisors (166203584).

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

78286656 is a wasteful number, since it uses less digits than its factorization.

78286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1922 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 78286656 is about 8847.9746835081. The cubic root of 78286656 is about 427.7886399271.

The spelling of 78286656 in words is "seventy-eight million, two hundred eighty-six thousand, six hundred fifty-six".