78429344 has 48 divisors (see below), whose sum is σ = 181254528. Its totient is φ = 32700672.

The previous prime is 78429343. The next prime is 78429367. The reversal of 78429344 is 44392487.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78429341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3557 + ... + 13019.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 2^78429344 is an apocalyptic number.

78429344 is a gapful number since it is divisible by the number (74) 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 78429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90627264).

78429344 is an abundant number, since it is smaller than the sum of its proper divisors (102825184).

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

78429344 is a wasteful number, since it uses less digits than its factorization.

78429344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9517 (or 9509 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 78429344 is about 8856.0343269434. The cubic root of 78429344 is about 428.0483830359.

The spelling of 78429344 in words is "seventy-eight million, four hundred twenty-nine thousand, three hundred forty-four".