78348408 has 96 divisors (see below), whose sum is σ = 209721600. Its totient is φ = 24373440.

The previous prime is 78348407. The next prime is 78348409. The reversal of 78348408 is 80484387.

It is an interprime number because it is at equal distance from previous prime (78348407) and next prime (78348409).

It is a super-2 number, since 2×78348408² = 12276946072268928, 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 78348408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78348407) 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 23 ways as a sum of consecutive naturals, for example, 991713 + ... + 991791.

It is an arithmetic number, because the mean of its divisors is an integer number (2184600).

Almost surely, 2^78348408 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 78348408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104860800).

78348408 is an abundant number, since it is smaller than the sum of its proper divisors (131373192).

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

78348408 is a wasteful number, since it uses less digits than its factorization.

78348408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 78348408 is about 8851.4636077883. The cubic root of 78348408 is about 427.9010893222.

The spelling of 78348408 in words is "seventy-eight million, three hundred forty-eight thousand, four hundred eight".