78829162776 has 384 divisors, whose sum is σ = 282260160000. Its totient is φ = 19694368512.

The previous prime is 78829162747. The next prime is 78829162849. The reversal of 78829162776 is 67726192887.

78829162776 is a `hidden beast` number, since 78 + 8 + 291 + 6 + 277 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6093451 + ... + 6106373.

It is an arithmetic number, because the mean of its divisors is an integer number (735052500).

Almost surely, 2^78829162776 is an apocalyptic number.

78829162776 is a gapful number since it is divisible by the number (76) 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 78829162776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141130080000).

78829162776 is an abundant number, since it is smaller than the sum of its proper divisors (203430997224).

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

78829162776 is a wasteful number, since it uses less digits than its factorization.

78829162776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12967 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 78829162776 in words is "seventy-eight billion, eight hundred twenty-nine million, one hundred sixty-two thousand, seven hundred seventy-six".