78005693304 has 256 divisors, whose sum is σ = 270499737600. Its totient is φ = 20234966400.

The previous prime is 78005693303. The next prime is 78005693321. The reversal of 78005693304 is 40339650087.

78005693304 is a `hidden beast` number, since 7 + 80 + 0 + 569 + 3 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 78005693304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78005693303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15082639 + ... + 15087809.

It is an arithmetic number, because the mean of its divisors is an integer number (1056639600).

Almost surely, 2^78005693304 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 78005693304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135249868800).

78005693304 is an abundant number, since it is smaller than the sum of its proper divisors (192494044296).

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

78005693304 is a wasteful number, since it uses less digits than its factorization.

78005693304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 78005693304 in words is "seventy-eight billion, five million, six hundred ninety-three thousand, three hundred four".