78883200 has 384 divisors, whose sum is σ = 318729600. Its totient is φ = 18892800.

The previous prime is 78883183. The next prime is 78883241. The reversal of 78883200 is 238887.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 950359 + ... + 950441.

It is an arithmetic number, because the mean of its divisors is an integer number (830025).

Almost surely, 2^78883200 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 78883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

78883200 is an abundant number, since it is smaller than the sum of its proper divisors (239846400).

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

78883200 is a wasteful number, since it uses less digits than its factorization.

78883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78883200 is about 8881.6214735824. The cubic root of 78883200 is about 428.8724741983.

The spelling of 78883200 in words is "seventy-eight million, eight hundred eighty-three thousand, two hundred".