78793506 has 96 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 23047200.

The previous prime is 78793489. The next prime is 78793511. The reversal of 78793506 is 60539787.

It is a happy number.

78793506 is a `hidden beast` number, since 78 + 79 + 3 + 506 = 666.

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 47 ways as a sum of consecutive naturals, for example, 202360 + ... + 202748.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2^78793506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78793506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

78793506 is an abundant number, since it is smaller than the sum of its proper divisors (120387294).

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

78793506 is a wasteful number, since it uses less digits than its factorization.

78793506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 78793506 is about 8876.5706215858. The cubic root of 78793506 is about 428.7098629933.

The spelling of 78793506 in words is "seventy-eight million, seven hundred ninety-three thousand, five hundred six".