78532100 has 18 divisors (see below), whose sum is σ = 170414874. Its totient is φ = 31412800.

The previous prime is 78532049. The next prime is 78532109. The reversal of 78532100 is 123587.

It can be written as a sum of positive squares in 3 ways, for example, as 669124 + 77862976 = 818^2 + 8824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 78532100.

It is not an unprimeable number, because it can be changed into a prime (78532109) 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 5 ways as a sum of consecutive naturals, for example, 392561 + ... + 392760.

It is an arithmetic number, because the mean of its divisors is an integer number (9467493).

Almost surely, 2^78532100 is an apocalyptic number.

It is an amenable number.

78532100 is an abundant number, since it is smaller than the sum of its proper divisors (91882774).

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

78532100 is a wasteful number, since it uses less digits than its factorization.

78532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785335 (or 785328 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 78532100 is about 8861.8338959834. The cubic root of 78532100 is about 428.2352405829.

Adding to 78532100 its reverse (123587), we get a palindrome (78655687).

The spelling of 78532100 in words is "seventy-eight million, five hundred thirty-two thousand, one hundred".