78867936 has 288 divisors, whose sum is σ = 283046400. Its totient is φ = 20321280.

The previous prime is 78867923. The next prime is 78867941. The reversal of 78867936 is 63976887.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110781 + ... + 1110851.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^78867936 is an apocalyptic number.

78867936 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 78867936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

78867936 is an abundant number, since it is smaller than the sum of its proper divisors (204178464).

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

78867936 is a wasteful number, since it uses less digits than its factorization.

78867936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 78867936 is about 8880.7621294571. The cubic root of 78867936 is about 428.8448099566.

The spelling of 78867936 in words is "seventy-eight million, eight hundred sixty-seven thousand, nine hundred thirty-six".