78316200 has 96 divisors (see below), whose sum is σ = 269774400. Its totient is φ = 20882880.

The previous prime is 78316177. The next prime is 78316207. The reversal of 78316200 is 261387.

78316200 is a `hidden beast` number, since 7 + 8 + 31 + 620 + 0 = 666.

It is a super-2 number, since 2×78316200² = 12266854364880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (78316207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (2810150).

Almost surely, 2^78316200 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 78316200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134887200).

78316200 is an abundant number, since it is smaller than the sum of its proper divisors (191458200).

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

78316200 is a wasteful number, since it uses less digits than its factorization.

78316200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14528 (or 14513 counting only the distinct ones).

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

The square root of 78316200 is about 8849.6440606388. The cubic root of 78316200 is about 427.8424464491.

Adding to 78316200 its reverse (261387), we get a palindrome (78577587).

The spelling of 78316200 in words is "seventy-eight million, three hundred sixteen thousand, two hundred".