78908809811256 has 560 divisors, whose sum is σ = 239243560077600. Its totient is φ = 24388389146592.

The previous prime is 78908809811213. The next prime is 78908809811257. The reversal of 78908809811256 is 65211890880987.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 78908809811256 = 5358³ + 42864³ = 24111³ + 40185³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78908809811257) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1678910847025 + ... + 1678910847071.

Almost surely, 2^{78908809811256} is an apocalyptic number.

78908809811256 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 78908809811256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119621780038800).

78908809811256 is an abundant number, since it is smaller than the sum of its proper divisors (160334750266344).

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

78908809811256 is an frugal number, since it uses more digits than its factorization.

78908809811256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 78908809811256 in words is "seventy-eight trillion, nine hundred eight billion, eight hundred nine million, eight hundred eleven thousand, two hundred fifty-six".