78713856 has 220 divisors, whose sum is σ = 256603732. Its totient is φ = 23887872.

The previous prime is 78713849. The next prime is 78713857. The reversal of 78713856 is 65831787.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 51840000 = 5184^2 + 7200^2 .

It is a super-2 number, since 2×78713856² = 12391742252777472, which contains 22 as substring.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78713857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078236 + ... + 1078308.

Almost surely, 2^78713856 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 78713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128301866).

78713856 is an abundant number, since it is smaller than the sum of its proper divisors (177889876).

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

78713856 is a wasteful number, since it uses less digits than its factorization.

78713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 78713856 is about 8872.0829572316. The cubic root of 78713856 is about 428.5653576283.

The spelling of 78713856 in words is "seventy-eight million, seven hundred thirteen thousand, eight hundred fifty-six".