78312600 has 144 divisors (see below), whose sum is σ = 265738200. Its totient is φ = 20666880.

The previous prime is 78312587. The next prime is 78312607. The reversal of 78312600 is 621387.

It is a super-2 number, since 2×78312600² = 12265726637520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78312607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 250044 + ... + 250356.

Almost surely, 2^78312600 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 78312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132869100).

78312600 is an abundant number, since it is smaller than the sum of its proper divisors (187425600).

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

78312600 is a wasteful number, since it uses less digits than its factorization.

78312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 78312600 is about 8849.4406602903. The cubic root of 78312600 is about 427.8358907327.

Adding to 78312600 its reverse (621387), we get a palindrome (78933987).

The spelling of 78312600 in words is "seventy-eight million, three hundred twelve thousand, six hundred".