78324288 has 112 divisors (see below), whose sum is σ = 239597184. Its totient is φ = 22118400.

The previous prime is 78324283. The next prime is 78324341. The reversal of 78324288 is 88242387.

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

It is a super-2 number, since 2×78324288² = 12269388181413888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (78324283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135456 + ... + 136032.

Almost surely, 2^78324288 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 78324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119798592).

78324288 is an abundant number, since it is smaller than the sum of its proper divisors (161272896).

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

78324288 is a wasteful number, since it uses less digits than its factorization.

78324288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 78324288 is about 8850.1010163726. The cubic root of 78324288 is about 427.8571742262.

The spelling of 78324288 in words is "seventy-eight million, three hundred twenty-four thousand, two hundred eighty-eight".