78565200 has 240 divisors, whose sum is σ = 295219200. Its totient is φ = 17487360.

The previous prime is 78565199. The next prime is 78565231. The reversal of 78565200 is 256587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 394701 + ... + 394899.

It is an arithmetic number, because the mean of its divisors is an integer number (1230080).

Almost surely, 2^78565200 is an apocalyptic number.

78565200 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 78565200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147609600).

78565200 is an abundant number, since it is smaller than the sum of its proper divisors (216654000).

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

78565200 is a wasteful number, since it uses less digits than its factorization.

78565200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 78565200 is about 8863.7012585037. The cubic root of 78565200 is about 428.2953968565.

The spelling of 78565200 in words is "seventy-eight million, five hundred sixty-five thousand, two hundred".