78289008 has 80 divisors (see below), whose sum is σ = 236818176. Its totient is φ = 21818880.

The previous prime is 78289007. The next prime is 78289021. The reversal of 78289008 is 80098287.

It is a happy number.

It is a super-2 number, since 2×78289008² = 12258337547248128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78289007) 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, 10935 + ... + 16617.

Almost surely, 2^78289008 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 78289008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118409088).

78289008 is an abundant number, since it is smaller than the sum of its proper divisors (158529168).

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

78289008 is a wasteful number, since it uses less digits than its factorization.

78289008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 78289008 is about 8848.1075942825. The cubic root of 78289008 is about 427.7929239641.

It can be divided in two parts, 7828 and 9008, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 78289008 in words is "seventy-eight million, two hundred eighty-nine thousand, eight".