78282288 has 100 divisors (see below), whose sum is σ = 258969040. Its totient is φ = 22363776.

The previous prime is 78282287. The next prime is 78282289. The reversal of 78282288 is 88228287.

It is an interprime number because it is at equal distance from previous prime (78282287) and next prime (78282289).

It is a super-2 number, since 2×78282288² = 12256233229029888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78282283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4758 + ... + 13386.

Almost surely, 2^78282288 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 78282288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129484520).

78282288 is an abundant number, since it is smaller than the sum of its proper divisors (180686752).

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

78282288 is a wasteful number, since it uses less digits than its factorization.

78282288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8641 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 78282288 is about 8847.7278439156. The cubic root of 78282288 is about 427.7806836306.

The spelling of 78282288 in words is "seventy-eight million, two hundred eighty-two thousand, two hundred eighty-eight".