78289002 has 48 divisors (see below), whose sum is σ = 187686720. Its totient is φ = 23385600.

The previous prime is 78288997. The next prime is 78289007. The reversal of 78289002 is 20098287.

It is an interprime number because it is at equal distance from previous prime (78288997) and next prime (78289007).

It is a super-2 number, since 2×78289002² = 12258335668312008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78289007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11274 + ... + 16842.

It is an arithmetic number, because the mean of its divisors is an integer number (3910140).

Almost surely, 2^78289002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78289002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93843360).

78289002 is an abundant number, since it is smaller than the sum of its proper divisors (109397718).

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

78289002 is a wasteful number, since it uses less digits than its factorization.

78289002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5656 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 78289002 is about 8848.1072552270. The cubic root of 78289002 is about 427.7929130356.

The spelling of 78289002 in words is "seventy-eight million, two hundred eighty-nine thousand, two".