78481656 has 256 divisors, whose sum is σ = 264384000. Its totient is φ = 21288960.

The previous prime is 78481649. The next prime is 78481687. The reversal of 78481656 is 65618487.

It is a happy number.

78481656 is a nontrivial binomial coefficient, being equal to C(12529, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171335 + ... + 1171401.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^78481656 is an apocalyptic number.

78481656 is the 12528-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78481656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

78481656 is an abundant number, since it is smaller than the sum of its proper divisors (185902344).

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

78481656 is a wasteful number, since it uses less digits than its factorization.

78481656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 78481656 is about 8858.9873010407. The cubic root of 78481656 is about 428.1435306310.

The spelling of 78481656 in words is "seventy-eight million, four hundred eighty-one thousand, six hundred fifty-six".