78411344 has 80 divisors (see below), whose sum is σ = 178381440. Its totient is φ = 32993280.

The previous prime is 78411337. The next prime is 78411349. The reversal of 78411344 is 44311487.

It is a super-2 number, since 2×78411344² = 12296677735772672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78411349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218237 + ... + 218595.

It is an arithmetic number, because the mean of its divisors is an integer number (2229768).

Almost surely, 2^78411344 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 78411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190720).

78411344 is an abundant number, since it is smaller than the sum of its proper divisors (99970096).

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

78411344 is a wasteful number, since it uses less digits than its factorization.

78411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 78411344 is about 8855.0180124040. The cubic root of 78411344 is about 428.0156339822.

The spelling of 78411344 in words is "seventy-eight million, four hundred eleven thousand, three hundred forty-four".