78412240 has 80 divisors (see below), whose sum is σ = 194630400. Its totient is φ = 29293056.

The previous prime is 78412231. The next prime is 78412241. The reversal of 78412240 is 4221487.

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

It is a super-2 number, since 2×78412240² = 12296958763635200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78412199 and 78412208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78412241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119754 + ... + 120406.

It is an arithmetic number, because the mean of its divisors is an integer number (2432880).

Almost surely, 2^78412240 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 78412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97315200).

78412240 is an abundant number, since it is smaller than the sum of its proper divisors (116218160).

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

78412240 is a wasteful number, since it uses less digits than its factorization.

78412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 78412240 is about 8855.0686050420. The cubic root of 78412240 is about 428.0172642758.

The spelling of 78412240 in words is "seventy-eight million, four hundred twelve thousand, two hundred forty".