78712200 has 144 divisors (see below), whose sum is σ = 302153280. Its totient is φ = 17988480.

The previous prime is 78712189. The next prime is 78712201. The reversal of 78712200 is 221787.

It is a super-2 number, since 2×78712200² = 12391220857680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78712201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9477 + ... + 15723.

Almost surely, 2^78712200 is an apocalyptic number.

78712200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78712200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076640).

78712200 is an abundant number, since it is smaller than the sum of its proper divisors (223441080).

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

78712200 is a wasteful number, since it uses less digits than its factorization.

78712200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 78712200 is about 8871.9896302915. The cubic root of 78712200 is about 428.5623521887.

Adding to 78712200 its reverse (221787), we get a palindrome (78933987).

The spelling of 78712200 in words is "seventy-eight million, seven hundred twelve thousand, two hundred".