78469200 has 180 divisors, whose sum is σ = 277044768. Its totient is φ = 20563200.

The previous prime is 78469189. The next prime is 78469207. The reversal of 78469200 is 296487.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78469207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 255447 + ... + 255753.

Almost surely, 2^78469200 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 78469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

78469200 is an abundant number, since it is smaller than the sum of its proper divisors (198575568).

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

78469200 is a wasteful number, since it uses less digits than its factorization.

78469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78469200 is about 8858.2842582523. The cubic root of 78469200 is about 428.1208788919.

The spelling of 78469200 in words is "seventy-eight million, four hundred sixty-nine thousand, two hundred".