78445000 has 80 divisors (see below), whose sum is σ = 190485900. Its totient is φ = 30240000.

The previous prime is 78444991. The next prime is 78445009. The reversal of 78445000 is 54487.

It is an interprime number because it is at equal distance from previous prime (78444991) and next prime (78445009).

It can be written as a sum of positive squares in 10 ways, for example, as 7918596 + 70526404 = 2814^2 + 8398^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78445000.

It is not an unprimeable number, because it can be changed into a prime (78445009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144730 + ... + 145270.

Almost surely, 2^78445000 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 78445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95242950).

78445000 is an abundant number, since it is smaller than the sum of its proper divisors (112040900).

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

78445000 is a wasteful number, since it uses less digits than its factorization.

78445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 78445000 is about 8856.9181999158. The cubic root of 78445000 is about 428.0768633609.

Adding to 78445000 its reverse (54487), we get a palindrome (78499487).

The spelling of 78445000 in words is "seventy-eight million, four hundred forty-five thousand".