78093824 has 40 divisors (see below), whose sum is σ = 157394688. Its totient is φ = 38707200.

The previous prime is 78093811. The next prime is 78093833. The reversal of 78093824 is 42839087.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 64424 + ... + 65624.

Almost surely, 2^78093824 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 78093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78697344).

78093824 is an abundant number, since it is smaller than the sum of its proper divisors (79300864).

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

78093824 is a wasteful number, since it uses less digits than its factorization.

78093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 78093824 is about 8837.0710079754. The cubic root of 78093824 is about 427.4371148794.

The spelling of 78093824 in words is "seventy-eight million, ninety-three thousand, eight hundred twenty-four".