78031827840 has 256 divisors, whose sum is σ = 270479373120. Its totient is φ = 19054854144.

The previous prime is 78031827793. The next prime is 78031827893. The reversal of 78031827840 is 4872813087.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78031827840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175374 + ... + 1239986.

Almost surely, 2^78031827840 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 78031827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135239686560).

78031827840 is an abundant number, since it is smaller than the sum of its proper divisors (192447545280).

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

78031827840 is a wasteful number, since it uses less digits than its factorization.

78031827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64689 (or 64677 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 78031827840 in words is "seventy-eight billion, thirty-one million, eight hundred twenty-seven thousand, eight hundred forty".