78589440 has 200 divisors, whose sum is σ = 282225240. Its totient is φ = 20901888.

The previous prime is 78589439. The next prime is 78589457. The reversal of 78589440 is 4498587.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 207171 + ... + 207549.

Almost surely, 2^78589440 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 78589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141112620).

78589440 is an abundant number, since it is smaller than the sum of its proper divisors (203635800).

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

78589440 is an equidigital number, since it uses as much as digits as its factorization.

78589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78589440 is about 8865.0685276539. The cubic root of 78589440 is about 428.3394401602.

The spelling of 78589440 in words is "seventy-eight million, five hundred eighty-nine thousand, four hundred forty".