78835200 has 120 divisors (see below), whose sum is σ = 260554008. Its totient is φ = 21012480.

The previous prime is 78835193. The next prime is 78835217. The reversal of 78835200 is 253887.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37374 + ... + 39426.

Almost surely, 2^78835200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130277004).

78835200 is an abundant number, since it is smaller than the sum of its proper divisors (181718808).

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

78835200 is a wasteful number, since it uses less digits than its factorization.

78835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 78835200 is about 8878.9188531037. The cubic root of 78835200 is about 428.7854676890.

It can be divided in two parts, 78 and 835200, that added together give a triangular number (835278 = T₁₂₉₂).

The spelling of 78835200 in words is "seventy-eight million, eight hundred thirty-five thousand, two hundred".