78082368 has 224 divisors, whose sum is σ = 262859520. Its totient is φ = 19906560.

The previous prime is 78082363. The next prime is 78082391. The reversal of 78082368 is 86328087.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78082363) 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 31 ways as a sum of consecutive naturals, for example, 716298 + ... + 716406.

It is an arithmetic number, because the mean of its divisors is an integer number (1173480).

Almost surely, 2^78082368 is an apocalyptic number.

78082368 is a gapful number since it is divisible by the number (78) 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 78082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131429760).

78082368 is an abundant number, since it is smaller than the sum of its proper divisors (184777152).

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

78082368 is a wasteful number, since it uses less digits than its factorization.

78082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 78082368 is about 8836.4228056380. The cubic root of 78082368 is about 427.4162128465.

The spelling of 78082368 in words is "seventy-eight million, eighty-two thousand, three hundred sixty-eight".