78965600 has 144 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 26503680.

The previous prime is 78965599. The next prime is 78965603. The reversal of 78965600 is 656987.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78965603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 330281 + ... + 330519.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^78965600 is an apocalyptic number.

78965600 is a gapful number since it is divisible by the number (70) 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 78965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

78965600 is an abundant number, since it is smaller than the sum of its proper divisors (146020000).

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

78965600 is a wasteful number, since it uses less digits than its factorization.

78965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 78965600 is about 8886.2590554181. The cubic root of 78965600 is about 429.0217531075.

The spelling of 78965600 in words is "seventy-eight million, nine hundred sixty-five thousand, six hundred".