78532200 has 96 divisors (see below), whose sum is σ = 270518400. Its totient is φ = 20940480.

The previous prime is 78532199. The next prime is 78532219. The reversal of 78532200 is 223587.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 1872 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (2817900).

Almost surely, 2^78532200 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 78532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135259200).

78532200 is an abundant number, since it is smaller than the sum of its proper divisors (191986200).

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

78532200 is a wasteful number, since it uses less digits than its factorization.

78532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14568 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78532200 is about 8861.8395381546. The cubic root of 78532200 is about 428.2354223494.

Adding to 78532200 its reverse (223587), we get a palindrome (78755787).

The spelling of 78532200 in words is "seventy-eight million, five hundred thirty-two thousand, two hundred".