78444240 has 160 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 17571840.

The previous prime is 78444227. The next prime is 78444251. The reversal of 78444240 is 4244487.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88600 + ... + 89480.

Almost surely, 2^78444240 is an apocalyptic number.

78444240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

78444240 is an abundant number, since it is smaller than the sum of its proper divisors (205037616).

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

78444240 is a wasteful number, since it uses less digits than its factorization.

78444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 78444240 is about 8856.8752954978. The cubic root of 78444240 is about 428.0754809084.

The spelling of 78444240 in words is "seventy-eight million, four hundred forty-four thousand, two hundred forty".