78567440 has 80 divisors (see below), whose sum is σ = 209903232. Its totient is φ = 26790912.

The previous prime is 78567403. The next prime is 78567443. The reversal of 78567440 is 4476587.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×78567440⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (78567443) 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, 171692 + ... + 172148.

Almost surely, 2^78567440 is an apocalyptic number.

78567440 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 78567440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104951616).

78567440 is an abundant number, since it is smaller than the sum of its proper divisors (131335792).

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

78567440 is a wasteful number, since it uses less digits than its factorization.

78567440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 78567440 is about 8863.8276156523. The cubic root of 78567440 is about 428.2994672446.

The spelling of 78567440 in words is "seventy-eight million, five hundred sixty-seven thousand, four hundred forty".