78633856 has 128 divisors (see below), whose sum is σ = 195840000. Its totient is φ = 30689280.

The previous prime is 78633851. The next prime is 78633869. The reversal of 78633856 is 65833687.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78633851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527670 + ... + 527818.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 2^78633856 is an apocalyptic number.

78633856 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 78633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920000).

78633856 is an abundant number, since it is smaller than the sum of its proper divisors (117206144).

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

78633856 is a wasteful number, since it uses less digits than its factorization.

78633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 78633856 is about 8867.5732869822. The cubic root of 78633856 is about 428.4201191148.

The spelling of 78633856 in words is "seventy-eight million, six hundred thirty-three thousand, eight hundred fifty-six".