78906026880 has 448 divisors, whose sum is σ = 288249282720. Its totient is φ = 20638126080.

The previous prime is 78906026807. The next prime is 78906026959. The reversal of 78906026880 is 8862060987.

It is a super-2 number, since 2×78906026880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24726085 + ... + 24729275.

Almost surely, 2^78906026880 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 78906026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144124641360).

78906026880 is an abundant number, since it is smaller than the sum of its proper divisors (209343255840).

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

78906026880 is an equidigital number, since it uses as much as digits as its factorization.

78906026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 78906026880 in words is "seventy-eight billion, nine hundred six million, twenty-six thousand, eight hundred eighty".